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Finding the Fourth Proportional to 71,764.82, 107,654.57 and 27,428.89

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Solution

The fourth proportional to 71,764.82, 107,654.57 and 27,428.89 is: 41,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,764.82 : 107,654.57 = 27,428.89 : x
  2. Step 2: Convert to fraction form
    71,764.82/107,654.57 = 27,428.89/x
  3. Step 3: Cross multiply
    71,764.82x = 107,654.57 × 27,428.89
  4. Step 4: Simplify right side
    71,764.82x = 2,952,845,358.53
  5. Step 5: Solve for x
    x = 2,952,845,358.53/71,764.82
  6. Step 6: Final answer
    x = 41,146.14

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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.