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Finding the Fourth Proportional to 119,727.98, 165,225.90 and 65,279.70

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Solution

The fourth proportional to 119,727.98, 165,225.90 and 65,279.70 is: 90,086.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,727.98 : 165,225.90 = 65,279.70 : x
  2. Step 2: Convert to fraction form
    119,727.98/165,225.90 = 65,279.70/x
  3. Step 3: Cross multiply
    119,727.98x = 165,225.90 × 65,279.70
  4. Step 4: Simplify right side
    119,727.98x = 10,785,896,780.73
  5. Step 5: Solve for x
    x = 10,785,896,780.73/119,727.98
  6. Step 6: Final answer
    x = 90,086.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.