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Finding the Fourth Proportional to 198,651.66, 274,144.50 and 108,013.74

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Solution

The fourth proportional to 198,651.66, 274,144.50 and 108,013.74 is: 149,061.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,651.66 : 274,144.50 = 108,013.74 : x
  2. Step 2: Convert to fraction form
    198,651.66/274,144.50 = 108,013.74/x
  3. Step 3: Cross multiply
    198,651.66x = 274,144.50 × 108,013.74
  4. Step 4: Simplify right side
    198,651.66x = 29,611,372,745.43
  5. Step 5: Solve for x
    x = 29,611,372,745.43/198,651.66
  6. Step 6: Final answer
    x = 149,061.79

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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.