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Finding the Fourth Proportional to 78,350.52, 117,500.94 and 25,747.80

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Solution

The fourth proportional to 78,350.52, 117,500.94 and 25,747.80 is: 38,613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,350.52 : 117,500.94 = 25,747.80 : x
  2. Step 2: Convert to fraction form
    78,350.52/117,500.94 = 25,747.80/x
  3. Step 3: Cross multiply
    78,350.52x = 117,500.94 × 25,747.80
  4. Step 4: Simplify right side
    78,350.52x = 3,025,390,702.93
  5. Step 5: Solve for x
    x = 3,025,390,702.93/78,350.52
  6. Step 6: Final answer
    x = 38,613.54

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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.