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Finding the Fourth Proportional to 71,343.70, 107,059.29 and 31,934.14

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Solution

The fourth proportional to 71,343.70, 107,059.29 and 31,934.14 is: 47,920.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,343.70 : 107,059.29 = 31,934.14 : x
  2. Step 2: Convert to fraction form
    71,343.70/107,059.29 = 31,934.14/x
  3. Step 3: Cross multiply
    71,343.70x = 107,059.29 × 31,934.14
  4. Step 4: Simplify right side
    71,343.70x = 3,418,846,355.16
  5. Step 5: Solve for x
    x = 3,418,846,355.16/71,343.70
  6. Step 6: Final answer
    x = 47,920.79

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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.