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Finding the Fourth Proportional to 138,146.38, 206,773.89 and 71,494.90

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Solution

The fourth proportional to 138,146.38, 206,773.89 and 71,494.90 is: 107,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,146.38 : 206,773.89 = 71,494.90 : x
  2. Step 2: Convert to fraction form
    138,146.38/206,773.89 = 71,494.90/x
  3. Step 3: Cross multiply
    138,146.38x = 206,773.89 × 71,494.90
  4. Step 4: Simplify right side
    138,146.38x = 14,783,278,588.16
  5. Step 5: Solve for x
    x = 14,783,278,588.16/138,146.38
  6. Step 6: Final answer
    x = 107,011.70

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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.