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Finding the Fourth Proportional to 198,641.25, 274,124.97 and 109,217.25

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Solution

The fourth proportional to 198,641.25, 274,124.97 and 109,217.25 is: 150,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,641.25 : 274,124.97 = 109,217.25 : x
  2. Step 2: Convert to fraction form
    198,641.25/274,124.97 = 109,217.25/x
  3. Step 3: Cross multiply
    198,641.25x = 274,124.97 × 109,217.25
  4. Step 4: Simplify right side
    198,641.25x = 29,939,175,379.73
  5. Step 5: Solve for x
    x = 29,939,175,379.73/198,641.25
  6. Step 6: Final answer
    x = 150,719.83

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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.