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Finding the Fourth Proportional to 198,096, 297,109.48 and 91,470.88

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Solution

The fourth proportional to 198,096, 297,109.48 and 91,470.88 is: 137,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,096 : 297,109.48 = 91,470.88 : x
  2. Step 2: Convert to fraction form
    198,096/297,109.48 = 91,470.88/x
  3. Step 3: Cross multiply
    198,096x = 297,109.48 × 91,470.88
  4. Step 4: Simplify right side
    198,096x = 27,176,865,591.94
  5. Step 5: Solve for x
    x = 27,176,865,591.94/198,096
  6. Step 6: Final answer
    x = 137,190.38

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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.