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Finding the Fourth Proportional to 198,315, 273,674.70 and 108,891

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Solution

The fourth proportional to 198,315, 273,674.70 and 108,891 is: 150,269.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,315 : 273,674.70 = 108,891 : x
  2. Step 2: Convert to fraction form
    198,315/273,674.70 = 108,891/x
  3. Step 3: Cross multiply
    198,315x = 273,674.70 × 108,891
  4. Step 4: Simplify right side
    198,315x = 29,800,711,757.70
  5. Step 5: Solve for x
    x = 29,800,711,757.70/198,315
  6. Step 6: Final answer
    x = 150,269.58

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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.