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Finding the Fourth Proportional to 52,614.78, 78,922.11 and 13,171.89

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Solution

The fourth proportional to 52,614.78, 78,922.11 and 13,171.89 is: 19,757.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,614.78 : 78,922.11 = 13,171.89 : x
  2. Step 2: Convert to fraction form
    52,614.78/78,922.11 = 13,171.89/x
  3. Step 3: Cross multiply
    52,614.78x = 78,922.11 × 13,171.89
  4. Step 4: Simplify right side
    52,614.78x = 1,039,553,419.30
  5. Step 5: Solve for x
    x = 1,039,553,419.30/52,614.78
  6. Step 6: Final answer
    x = 19,757.82

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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.