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Finding the Fourth Proportional to 198,118, 273,407.64 and 108,694

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Solution

The fourth proportional to 198,118, 273,407.64 and 108,694 is: 150,000.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,118 : 273,407.64 = 108,694 : x
  2. Step 2: Convert to fraction form
    198,118/273,407.64 = 108,694/x
  3. Step 3: Cross multiply
    198,118x = 273,407.64 × 108,694
  4. Step 4: Simplify right side
    198,118x = 29,717,770,022.16
  5. Step 5: Solve for x
    x = 29,717,770,022.16/198,118
  6. Step 6: Final answer
    x = 150,000.35

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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.