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Finding the Fourth Proportional to 198,993.50, 274,615.95 and 108,354.43

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Solution

The fourth proportional to 198,993.50, 274,615.95 and 108,354.43 is: 149,531.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,993.50 : 274,615.95 = 108,354.43 : x
  2. Step 2: Convert to fraction form
    198,993.50/274,615.95 = 108,354.43/x
  3. Step 3: Cross multiply
    198,993.50x = 274,615.95 × 108,354.43
  4. Step 4: Simplify right side
    198,993.50x = 29,755,854,731.16
  5. Step 5: Solve for x
    x = 29,755,854,731.16/198,993.50
  6. Step 6: Final answer
    x = 149,531.79

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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.