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Finding the Fourth Proportional to 78,114.60, 117,160.02 and 25,524

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Solution

The fourth proportional to 78,114.60, 117,160.02 and 25,524 is: 38,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,114.60 : 117,160.02 = 25,524 : x
  2. Step 2: Convert to fraction form
    78,114.60/117,160.02 = 25,524/x
  3. Step 3: Cross multiply
    78,114.60x = 117,160.02 × 25,524
  4. Step 4: Simplify right side
    78,114.60x = 2,990,392,350.48
  5. Step 5: Solve for x
    x = 2,990,392,350.48/78,114.60
  6. Step 6: Final answer
    x = 38,282.12

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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.