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Finding the Fourth Proportional to 71,712.14, 107,568 and 21,791.97

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Solution

The fourth proportional to 71,712.14, 107,568 and 21,791.97 is: 32,687.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,712.14 : 107,568 = 21,791.97 : x
  2. Step 2: Convert to fraction form
    71,712.14/107,568 = 21,791.97/x
  3. Step 3: Cross multiply
    71,712.14x = 107,568 × 21,791.97
  4. Step 4: Simplify right side
    71,712.14x = 2,344,118,628.96
  5. Step 5: Solve for x
    x = 2,344,118,628.96/71,712.14
  6. Step 6: Final answer
    x = 32,687.89

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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.