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Finding the Fourth Proportional to 75,702.40, 113,553.60 and 74,147.20

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Solution

The fourth proportional to 75,702.40, 113,553.60 and 74,147.20 is: 111,220.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,702.40 : 113,553.60 = 74,147.20 : x
  2. Step 2: Convert to fraction form
    75,702.40/113,553.60 = 74,147.20/x
  3. Step 3: Cross multiply
    75,702.40x = 113,553.60 × 74,147.20
  4. Step 4: Simplify right side
    75,702.40x = 8,419,681,489.92
  5. Step 5: Solve for x
    x = 8,419,681,489.92/75,702.40
  6. Step 6: Final answer
    x = 111,220.80

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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.