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Finding the Fourth Proportional to 83,523.60, 125,276.76 and 78,650.64

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Solution

The fourth proportional to 83,523.60, 125,276.76 and 78,650.64 is: 117,967.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,523.60 : 125,276.76 = 78,650.64 : x
  2. Step 2: Convert to fraction form
    83,523.60/125,276.76 = 78,650.64/x
  3. Step 3: Cross multiply
    83,523.60x = 125,276.76 × 78,650.64
  4. Step 4: Simplify right side
    83,523.60x = 9,853,097,351.13
  5. Step 5: Solve for x
    x = 9,853,097,351.13/83,523.60
  6. Step 6: Final answer
    x = 117,967.82

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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.