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Finding the Fourth Proportional to 136,691.77, 205,016.84 and 52,491.59

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Solution

The fourth proportional to 136,691.77, 205,016.84 and 52,491.59 is: 78,729.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,691.77 : 205,016.84 = 52,491.59 : x
  2. Step 2: Convert to fraction form
    136,691.77/205,016.84 = 52,491.59/x
  3. Step 3: Cross multiply
    136,691.77x = 205,016.84 × 52,491.59
  4. Step 4: Simplify right side
    136,691.77x = 10,761,659,553.06
  5. Step 5: Solve for x
    x = 10,761,659,553.06/136,691.77
  6. Step 6: Final answer
    x = 78,729.39

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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.