Finding the Fourth Proportional to 102,097.50, 152,761.50 and 91,738.14

Step by Step Solution

1. Step 1: Write the proportion equation
   102,097.50 : 152,761.50 = 91,738.14 : x
2. Step 2: Convert to fraction form
   102,097.50/152,761.50 = 91,738.14/x
3. Step 3: Cross multiply
   102,097.50x = 152,761.50 × 91,738.14
4. Step 4: Simplify right side
   102,097.50x = 14,014,055,873.61
5. Step 5: Solve for x
   x = 14,014,055,873.61/102,097.50
6. Step 6: Final answer
   x = 137,261.50