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Finding the Fourth Proportional to 133,691.35, 200,402 and 83,806.41

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Solution

The fourth proportional to 133,691.35, 200,402 and 83,806.41 is: 125,624.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,691.35 : 200,402 = 83,806.41 : x
  2. Step 2: Convert to fraction form
    133,691.35/200,402 = 83,806.41/x
  3. Step 3: Cross multiply
    133,691.35x = 200,402 × 83,806.41
  4. Step 4: Simplify right side
    133,691.35x = 16,794,972,176.82
  5. Step 5: Solve for x
    x = 16,794,972,176.82/133,691.35
  6. Step 6: Final answer
    x = 125,624.97

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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.