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Finding the Fourth Proportional to 198,757.98, 298,016.57 and 89,192.81

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Solution

The fourth proportional to 198,757.98, 298,016.57 and 89,192.81 is: 133,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,757.98 : 298,016.57 = 89,192.81 : x
  2. Step 2: Convert to fraction form
    198,757.98/298,016.57 = 89,192.81/x
  3. Step 3: Cross multiply
    198,757.98x = 298,016.57 × 89,192.81
  4. Step 4: Simplify right side
    198,757.98x = 26,580,935,304.86
  5. Step 5: Solve for x
    x = 26,580,935,304.86/198,757.98
  6. Step 6: Final answer
    x = 133,735.19

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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.