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Finding the Fourth Proportional to 159,451.61, 239,029.65 and 89,281.71

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Solution

The fourth proportional to 159,451.61, 239,029.65 and 89,281.71 is: 133,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,451.61 : 239,029.65 = 89,281.71 : x
  2. Step 2: Convert to fraction form
    159,451.61/239,029.65 = 89,281.71/x
  3. Step 3: Cross multiply
    159,451.61x = 239,029.65 × 89,281.71
  4. Step 4: Simplify right side
    159,451.61x = 21,340,975,892.70
  5. Step 5: Solve for x
    x = 21,340,975,892.70/159,451.61
  6. Step 6: Final answer
    x = 133,839.83

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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.