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Finding the Fourth Proportional to 198,472, 273,891.36 and 109,048

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Solution

The fourth proportional to 198,472, 273,891.36 and 109,048 is: 150,486.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,472 : 273,891.36 = 109,048 : x
  2. Step 2: Convert to fraction form
    198,472/273,891.36 = 109,048/x
  3. Step 3: Cross multiply
    198,472x = 273,891.36 × 109,048
  4. Step 4: Simplify right side
    198,472x = 29,867,305,025.28
  5. Step 5: Solve for x
    x = 29,867,305,025.28/198,472
  6. Step 6: Final answer
    x = 150,486.24

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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.