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Finding the Fourth Proportional to 198,470.73, 297,661.20 and 91,796.15

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Solution

The fourth proportional to 198,470.73, 297,661.20 and 91,796.15 is: 137,673.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,470.73 : 297,661.20 = 91,796.15 : x
  2. Step 2: Convert to fraction form
    198,470.73/297,661.20 = 91,796.15/x
  3. Step 3: Cross multiply
    198,470.73x = 297,661.20 × 91,796.15
  4. Step 4: Simplify right side
    198,470.73x = 27,324,151,792.30
  5. Step 5: Solve for x
    x = 27,324,151,792.30/198,470.73
  6. Step 6: Final answer
    x = 137,673.46

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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.