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Finding the Fourth Proportional to 136,691.92, 205,129.39 and 56,729.95

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Solution

The fourth proportional to 136,691.92, 205,129.39 and 56,729.95 is: 85,132.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,691.92 : 205,129.39 = 56,729.95 : x
  2. Step 2: Convert to fraction form
    136,691.92/205,129.39 = 56,729.95/x
  3. Step 3: Cross multiply
    136,691.92x = 205,129.39 × 56,729.95
  4. Step 4: Simplify right side
    136,691.92x = 11,636,980,692.88
  5. Step 5: Solve for x
    x = 11,636,980,692.88/136,691.92
  6. Step 6: Final answer
    x = 85,132.91

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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.