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Finding the Fourth Proportional to 138,535.92, 207,463.68 and 88,468.20

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Solution

The fourth proportional to 138,535.92, 207,463.68 and 88,468.20 is: 132,485.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,535.92 : 207,463.68 = 88,468.20 : x
  2. Step 2: Convert to fraction form
    138,535.92/207,463.68 = 88,468.20/x
  3. Step 3: Cross multiply
    138,535.92x = 207,463.68 × 88,468.20
  4. Step 4: Simplify right side
    138,535.92x = 18,353,938,334.98
  5. Step 5: Solve for x
    x = 18,353,938,334.98/138,535.92
  6. Step 6: Final answer
    x = 132,485.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.