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Finding the Fourth Proportional to 138,432.30, 207,648.45 and 135,807.90

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Solution

The fourth proportional to 138,432.30, 207,648.45 and 135,807.90 is: 203,711.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,432.30 : 207,648.45 = 135,807.90 : x
  2. Step 2: Convert to fraction form
    138,432.30/207,648.45 = 135,807.90/x
  3. Step 3: Cross multiply
    138,432.30x = 207,648.45 × 135,807.90
  4. Step 4: Simplify right side
    138,432.30x = 28,200,299,932.76
  5. Step 5: Solve for x
    x = 28,200,299,932.76/138,432.30
  6. Step 6: Final answer
    x = 203,711.85

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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.