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Finding the Fourth Proportional to 78,342.44, 117,469.50 and 25,737.80

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Solution

The fourth proportional to 78,342.44, 117,469.50 and 25,737.80 is: 38,592.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,342.44 : 117,469.50 = 25,737.80 : x
  2. Step 2: Convert to fraction form
    78,342.44/117,469.50 = 25,737.80/x
  3. Step 3: Cross multiply
    78,342.44x = 117,469.50 × 25,737.80
  4. Step 4: Simplify right side
    78,342.44x = 3,023,406,497.10
  5. Step 5: Solve for x
    x = 3,023,406,497.10/78,342.44
  6. Step 6: Final answer
    x = 38,592.19

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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.