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Finding the Fourth Proportional to 221,084.42, 331,691.24 and 71,321.42

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Solution

The fourth proportional to 221,084.42, 331,691.24 and 71,321.42 is: 107,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,084.42 : 331,691.24 = 71,321.42 : x
  2. Step 2: Convert to fraction form
    221,084.42/331,691.24 = 71,321.42/x
  3. Step 3: Cross multiply
    221,084.42x = 331,691.24 × 71,321.42
  4. Step 4: Simplify right side
    221,084.42x = 23,656,690,238.36
  5. Step 5: Solve for x
    x = 23,656,690,238.36/221,084.42
  6. Step 6: Final answer
    x = 107,002.97

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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.