Finding the Fourth Proportional to 102,196.64, 153,243.43 and 31,105.64

Step by Step Solution

1. Step 1: Write the proportion equation
   102,196.64 : 153,243.43 = 31,105.64 : x
2. Step 2: Convert to fraction form
   102,196.64/153,243.43 = 31,105.64/x
3. Step 3: Cross multiply
   102,196.64x = 153,243.43 × 31,105.64
4. Step 4: Simplify right side
   102,196.64x = 4,766,734,965.95
5. Step 5: Solve for x
   x = 4,766,734,965.95/102,196.64
6. Step 6: Final answer
   x = 46,642.78