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Finding the Fourth Proportional to 198,991.92, 274,599.66 and 108,347.61

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Solution

The fourth proportional to 198,991.92, 274,599.66 and 108,347.61 is: 149,514.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,991.92 : 274,599.66 = 108,347.61 : x
  2. Step 2: Convert to fraction form
    198,991.92/274,599.66 = 108,347.61/x
  3. Step 3: Cross multiply
    198,991.92x = 274,599.66 × 108,347.61
  4. Step 4: Simplify right side
    198,991.92x = 29,752,216,867.81
  5. Step 5: Solve for x
    x = 29,752,216,867.81/198,991.92
  6. Step 6: Final answer
    x = 149,514.70

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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.