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Finding the Fourth Proportional to 198,846.70, 274,408.97 and 108,202.64

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Solution

The fourth proportional to 198,846.70, 274,408.97 and 108,202.64 is: 149,319.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,846.70 : 274,408.97 = 108,202.64 : x
  2. Step 2: Convert to fraction form
    198,846.70/274,408.97 = 108,202.64/x
  3. Step 3: Cross multiply
    198,846.70x = 274,408.97 × 108,202.64
  4. Step 4: Simplify right side
    198,846.70x = 29,691,773,080.62
  5. Step 5: Solve for x
    x = 29,691,773,080.62/198,846.70
  6. Step 6: Final answer
    x = 149,319.92

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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.