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Finding the Fourth Proportional to 71,342.70, 107,057.79 and 31,933.14

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Solution

The fourth proportional to 71,342.70, 107,057.79 and 31,933.14 is: 47,919.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,342.70 : 107,057.79 = 31,933.14 : x
  2. Step 2: Convert to fraction form
    71,342.70/107,057.79 = 31,933.14/x
  3. Step 3: Cross multiply
    71,342.70x = 107,057.79 × 31,933.14
  4. Step 4: Simplify right side
    71,342.70x = 3,418,691,396.16
  5. Step 5: Solve for x
    x = 3,418,691,396.16/71,342.70
  6. Step 6: Final answer
    x = 47,919.29

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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.