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Finding the Fourth Proportional to 198,906.81, 274,468.90 and 117,229.74

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Solution

The fourth proportional to 198,906.81, 274,468.90 and 117,229.74 is: 161,763.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,906.81 : 274,468.90 = 117,229.74 : x
  2. Step 2: Convert to fraction form
    198,906.81/274,468.90 = 117,229.74/x
  3. Step 3: Cross multiply
    198,906.81x = 274,468.90 × 117,229.74
  4. Step 4: Simplify right side
    198,906.81x = 32,175,917,785.09
  5. Step 5: Solve for x
    x = 32,175,917,785.09/198,906.81
  6. Step 6: Final answer
    x = 161,763.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.