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Finding the Fourth Proportional to 138,882, 208,279.80 and 50,123.88

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Solution

The fourth proportional to 138,882, 208,279.80 and 50,123.88 is: 75,170.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,882 : 208,279.80 = 50,123.88 : x
  2. Step 2: Convert to fraction form
    138,882/208,279.80 = 50,123.88/x
  3. Step 3: Cross multiply
    138,882x = 208,279.80 × 50,123.88
  4. Step 4: Simplify right side
    138,882x = 10,439,791,701.62
  5. Step 5: Solve for x
    x = 10,439,791,701.62/138,882
  6. Step 6: Final answer
    x = 75,170.23

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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.