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Finding the Fourth Proportional to 138,124.38, 206,741.01 and 71,472.78

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Solution

The fourth proportional to 138,124.38, 206,741.01 and 71,472.78 is: 106,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,124.38 : 206,741.01 = 71,472.78 : x
  2. Step 2: Convert to fraction form
    138,124.38/206,741.01 = 71,472.78/x
  3. Step 3: Cross multiply
    138,124.38x = 206,741.01 × 71,472.78
  4. Step 4: Simplify right side
    138,124.38x = 14,776,354,724.71
  5. Step 5: Solve for x
    x = 14,776,354,724.71/138,124.38
  6. Step 6: Final answer
    x = 106,978.61

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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.