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Finding the Fourth Proportional to 71,207.62, 106,785.90 and 21,278.42

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Solution

The fourth proportional to 71,207.62, 106,785.90 and 21,278.42 is: 31,910.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,207.62 : 106,785.90 = 21,278.42 : x
  2. Step 2: Convert to fraction form
    71,207.62/106,785.90 = 21,278.42/x
  3. Step 3: Cross multiply
    71,207.62x = 106,785.90 × 21,278.42
  4. Step 4: Simplify right side
    71,207.62x = 2,272,235,230.28
  5. Step 5: Solve for x
    x = 2,272,235,230.28/71,207.62
  6. Step 6: Final answer
    x = 31,910.00

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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.