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Finding the Fourth Proportional to 198,644.28, 274,129.08 and 109,220.28

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Solution

The fourth proportional to 198,644.28, 274,129.08 and 109,220.28 is: 150,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,644.28 : 274,129.08 = 109,220.28 : x
  2. Step 2: Convert to fraction form
    198,644.28/274,129.08 = 109,220.28/x
  3. Step 3: Cross multiply
    198,644.28x = 274,129.08 × 109,220.28
  4. Step 4: Simplify right side
    198,644.28x = 29,940,454,873.74
  5. Step 5: Solve for x
    x = 29,940,454,873.74/198,644.28
  6. Step 6: Final answer
    x = 150,723.97

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1.5x scale

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.