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Finding the Fourth Proportional to 159,691.28, 239,558.79 and 54,482

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Solution

The fourth proportional to 159,691.28, 239,558.79 and 54,482 is: 81,730.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,691.28 : 239,558.79 = 54,482 : x
  2. Step 2: Convert to fraction form
    159,691.28/239,558.79 = 54,482/x
  3. Step 3: Cross multiply
    159,691.28x = 239,558.79 × 54,482
  4. Step 4: Simplify right side
    159,691.28x = 13,051,641,996.78
  5. Step 5: Solve for x
    x = 13,051,641,996.78/159,691.28
  6. Step 6: Final answer
    x = 81,730.46

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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.