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Finding the Fourth Proportional to 198,207.38, 297,356.46 and 85,906.46

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Solution

The fourth proportional to 198,207.38, 297,356.46 and 85,906.46 is: 128,879.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,207.38 : 297,356.46 = 85,906.46 : x
  2. Step 2: Convert to fraction form
    198,207.38/297,356.46 = 85,906.46/x
  3. Step 3: Cross multiply
    198,207.38x = 297,356.46 × 85,906.46
  4. Step 4: Simplify right side
    198,207.38x = 25,544,840,836.73
  5. Step 5: Solve for x
    x = 25,544,840,836.73/198,207.38
  6. Step 6: Final answer
    x = 128,879.36

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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.