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Finding the Fourth Proportional to 159,200.40, 219,691.95 and 86,601

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Solution

The fourth proportional to 159,200.40, 219,691.95 and 86,601 is: 119,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,200.40 : 219,691.95 = 86,601 : x
  2. Step 2: Convert to fraction form
    159,200.40/219,691.95 = 86,601/x
  3. Step 3: Cross multiply
    159,200.40x = 219,691.95 × 86,601
  4. Step 4: Simplify right side
    159,200.40x = 19,025,542,561.95
  5. Step 5: Solve for x
    x = 19,025,542,561.95/159,200.40
  6. Step 6: Final answer
    x = 119,506.88

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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.