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Finding the Fourth Proportional to 198,854.66, 274,424.50 and 108,215.54

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Solution

The fourth proportional to 198,854.66, 274,424.50 and 108,215.54 is: 149,340.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,854.66 : 274,424.50 = 108,215.54 : x
  2. Step 2: Convert to fraction form
    198,854.66/274,424.50 = 108,215.54/x
  3. Step 3: Cross multiply
    198,854.66x = 274,424.50 × 108,215.54
  4. Step 4: Simplify right side
    198,854.66x = 29,696,995,456.73
  5. Step 5: Solve for x
    x = 29,696,995,456.73/198,854.66
  6. Step 6: Final answer
    x = 149,340.20

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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.