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Finding the Fourth Proportional to 80,197.20, 120,295.84 and 50,659.92

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Solution

The fourth proportional to 80,197.20, 120,295.84 and 50,659.92 is: 75,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,197.20 : 120,295.84 = 50,659.92 : x
  2. Step 2: Convert to fraction form
    80,197.20/120,295.84 = 50,659.92/x
  3. Step 3: Cross multiply
    80,197.20x = 120,295.84 × 50,659.92
  4. Step 4: Simplify right side
    80,197.20x = 6,094,177,630.73
  5. Step 5: Solve for x
    x = 6,094,177,630.73/80,197.20
  6. Step 6: Final answer
    x = 75,989.91

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1.5x scale

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.