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Finding the Fourth Proportional to 155,590.92, 214,726.16 and 86,691.20

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Solution

The fourth proportional to 155,590.92, 214,726.16 and 86,691.20 is: 119,639.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,590.92 : 214,726.16 = 86,691.20 : x
  2. Step 2: Convert to fraction form
    155,590.92/214,726.16 = 86,691.20/x
  3. Step 3: Cross multiply
    155,590.92x = 214,726.16 × 86,691.20
  4. Step 4: Simplify right side
    155,590.92x = 18,614,869,235.34
  5. Step 5: Solve for x
    x = 18,614,869,235.34/155,590.92
  6. Step 6: Final answer
    x = 119,639.82

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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.