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Finding the Fourth Proportional to 198,716.46, 274,231.10 and 108,074.70

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Solution

The fourth proportional to 198,716.46, 274,231.10 and 108,074.70 is: 149,144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,716.46 : 274,231.10 = 108,074.70 : x
  2. Step 2: Convert to fraction form
    198,716.46/274,231.10 = 108,074.70/x
  3. Step 3: Cross multiply
    198,716.46x = 274,231.10 × 108,074.70
  4. Step 4: Simplify right side
    198,716.46x = 29,637,443,863.17
  5. Step 5: Solve for x
    x = 29,637,443,863.17/198,716.46
  6. Step 6: Final answer
    x = 149,144.38

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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.