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Finding the Fourth Proportional to 80,200.20, 120,311.10 and 27,625.80

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Solution

The fourth proportional to 80,200.20, 120,311.10 and 27,625.80 is: 41,442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,200.20 : 120,311.10 = 27,625.80 : x
  2. Step 2: Convert to fraction form
    80,200.20/120,311.10 = 27,625.80/x
  3. Step 3: Cross multiply
    80,200.20x = 120,311.10 × 27,625.80
  4. Step 4: Simplify right side
    80,200.20x = 3,323,690,386.38
  5. Step 5: Solve for x
    x = 3,323,690,386.38/80,200.20
  6. Step 6: Final answer
    x = 41,442.42

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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.