Is it possible to make a ranking at the same time as quick sort?

It seems inefficient to write the syntax separately and repeatedly for ranking purposes.

I don't think ranking separately is inefficient.

The average quick sort calculation is O(nlog n), worst of all, O(n^2), but then the ranking is O(n).
Also, it is difficult to determine the ranking during sorting.Even if implemented, the IF statement for determining the ranking will be passed through every time, and it will become inefficient.If you want efficiency, you should pay more attention to the number of conditional branches than to the number of iterations.
If you really want to sort and rank in the same way, I think you can easily implement bubble sort, but I don't recommend it because it will definitely slow down.
In addition, it is not recommended that multiple functions be processed into one process.Considering the ease of maintenance, I think it would be easier to understand if the processing was organized by function.

For your information, if I were to implement it with C#, the code would be as follows.We are creating a new list by sorting the list itself with the values in the fourth column as the key.

public class data
{
    public string name {get;set;}
    public int Value 1 { get; set; }
    public int Value2 {get;set;}
    public int Value3 {get;set;}
    Public int Rank {get;set;} // Rank is not determined when input CVS is loaded
}

public void sample (List<Data>source)
{
    // Create a list sorted by Value3.
    // Source and ranking only have different order of arrangement, and the data of the elements refer to the same.
    List<Data>ranking=source.OrderByDescending(e=>e.Value3).ToList();

    // Ranking. Action not implemented if Value 3 is equivalent
    intrank=1;
    foreach (var data in ranking)
    {
        data.Rank=rank;
        rank++;
    }

    // output:Value 3
    foreach (var data in ranking)
    {
        Console.WriteLine($"{data.Value3}");
    }

    // output:ranked data
    foreach (var data in source)
    {
        Console.WriteLine($"{data.Name}, {data.Value1}, {data.Value2}, {data.Value3}, {data.Rank}";
    }
}