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Finding the Fourth Proportional to 198,532.89, 297,854.92 and 80,287.27

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Solution

The fourth proportional to 198,532.89, 297,854.92 and 80,287.27 is: 120,453.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,532.89 : 297,854.92 = 80,287.27 : x
  2. Step 2: Convert to fraction form
    198,532.89/297,854.92 = 80,287.27/x
  3. Step 3: Cross multiply
    198,532.89x = 297,854.92 × 80,287.27
  4. Step 4: Simplify right side
    198,532.89x = 23,913,958,382.87
  5. Step 5: Solve for x
    x = 23,913,958,382.87/198,532.89
  6. Step 6: Final answer
    x = 120,453.38

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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.