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Finding the Fourth Proportional to 198,288, 273,641.76 and 108,864

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Solution

The fourth proportional to 198,288, 273,641.76 and 108,864 is: 150,234.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,288 : 273,641.76 = 108,864 : x
  2. Step 2: Convert to fraction form
    198,288/273,641.76 = 108,864/x
  3. Step 3: Cross multiply
    198,288x = 273,641.76 × 108,864
  4. Step 4: Simplify right side
    198,288x = 29,789,736,560.64
  5. Step 5: Solve for x
    x = 29,789,736,560.64/198,288
  6. Step 6: Final answer
    x = 150,234.69

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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.