Finding the Fourth Proportional to 102,016.10, 142,970.17 and 102,016.10

Step by Step Solution

1. Step 1: Write the proportion equation
   102,016.10 : 142,970.17 = 102,016.10 : x
2. Step 2: Convert to fraction form
   102,016.10/142,970.17 = 102,016.10/x
3. Step 3: Cross multiply
   102,016.10x = 142,970.17 × 102,016.10
4. Step 4: Simplify right side
   102,016.10x = 14,585,259,159.74
5. Step 5: Solve for x
   x = 14,585,259,159.74/102,016.10
6. Step 6: Final answer
   x = 142,970.17