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Finding the Fourth Proportional to 198,658.20, 297,728.10 and 92,029.80

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Solution

The fourth proportional to 198,658.20, 297,728.10 and 92,029.80 is: 137,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,658.20 : 297,728.10 = 92,029.80 : x
  2. Step 2: Convert to fraction form
    198,658.20/297,728.10 = 92,029.80/x
  3. Step 3: Cross multiply
    198,658.20x = 297,728.10 × 92,029.80
  4. Step 4: Simplify right side
    198,658.20x = 27,399,857,497.38
  5. Step 5: Solve for x
    x = 27,399,857,497.38/198,658.20
  6. Step 6: Final answer
    x = 137,924.62

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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.