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Finding the Fourth Proportional to 198,658.20, 297,728.10 and 80,232.60

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Solution

The fourth proportional to 198,658.20, 297,728.10 and 80,232.60 is: 120,244.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,658.20 : 297,728.10 = 80,232.60 : x
  2. Step 2: Convert to fraction form
    198,658.20/297,728.10 = 80,232.60/x
  3. Step 3: Cross multiply
    198,658.20x = 297,728.10 × 80,232.60
  4. Step 4: Simplify right side
    198,658.20x = 23,887,499,556.06
  5. Step 5: Solve for x
    x = 23,887,499,556.06/198,658.20
  6. Step 6: Final answer
    x = 120,244.22

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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.