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Finding the Fourth Proportional to 67,138.35, 100,710.26 and 27,691.70

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Solution

The fourth proportional to 67,138.35, 100,710.26 and 27,691.70 is: 41,538.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,138.35 : 100,710.26 = 27,691.70 : x
  2. Step 2: Convert to fraction form
    67,138.35/100,710.26 = 27,691.70/x
  3. Step 3: Cross multiply
    67,138.35x = 100,710.26 × 27,691.70
  4. Step 4: Simplify right side
    67,138.35x = 2,788,838,489.39
  5. Step 5: Solve for x
    x = 2,788,838,489.39/67,138.35
  6. Step 6: Final answer
    x = 41,538.68

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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.