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Finding the Fourth Proportional to 198,505.59, 273,906.87 and 117,931.05

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Solution

The fourth proportional to 198,505.59, 273,906.87 and 117,931.05 is: 162,726.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,505.59 : 273,906.87 = 117,931.05 : x
  2. Step 2: Convert to fraction form
    198,505.59/273,906.87 = 117,931.05/x
  3. Step 3: Cross multiply
    198,505.59x = 273,906.87 × 117,931.05
  4. Step 4: Simplify right side
    198,505.59x = 32,302,124,781.31
  5. Step 5: Solve for x
    x = 32,302,124,781.31/198,505.59
  6. Step 6: Final answer
    x = 162,726.52

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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.