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Finding the Fourth Proportional to 198,581.76, 274,042.84 and 109,157.76

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Solution

The fourth proportional to 198,581.76, 274,042.84 and 109,157.76 is: 150,637.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,581.76 : 274,042.84 = 109,157.76 : x
  2. Step 2: Convert to fraction form
    198,581.76/274,042.84 = 109,157.76/x
  3. Step 3: Cross multiply
    198,581.76x = 274,042.84 × 109,157.76
  4. Step 4: Simplify right side
    198,581.76x = 29,913,902,558.44
  5. Step 5: Solve for x
    x = 29,913,902,558.44/198,581.76
  6. Step 6: Final answer
    x = 150,637.71

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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.