Cumulative Product Function

I need to calculate the cumulative (adjusted) product over a table, whereby I need to include a value from the previous row into the calculation.

Example:

_time a b
01.01.2020 100’000 -
02.01.2020 110’000 -
03.01.2020 210’000 100’000
04.01.2020 189’000 -
05.01.2020 139’000 -50’000
06.01.2020 145’950

I need to calculate c based on the following formula:

c = a / (previousA +b)

Where previousA is the a value from the previous row. So for the ‘02.01.2020’ row a is 110’000 and previousA is 100’000.

This should result in the following:

_time a b c
01.01.2020 100’000 -
02.01.2020 110’000 - 1.1
03.01.2020 210’000 100’000 1
04.01.2020 189’000 - 0.9
05.01.2020 139’000 -50’000 1
06.01.2020 145’950 1.05

I cannot figure out how to get a value from the previous row.

I tried both map which performs an operation on each row, but I could not figure out a way how to access a value from the previous row. And I tried reduce, where I can use the accumulator to keep the calculated value c but it gives me one value for the entire table only and not one value for each row.