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Finding the Fourth Proportional to 149,452, 206,243.76 and 82,385.44

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Solution

The fourth proportional to 149,452, 206,243.76 and 82,385.44 is: 113,691.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,452 : 206,243.76 = 82,385.44 : x
  2. Step 2: Convert to fraction form
    149,452/206,243.76 = 82,385.44/x
  3. Step 3: Cross multiply
    149,452x = 206,243.76 × 82,385.44
  4. Step 4: Simplify right side
    149,452x = 16,991,482,914.85
  5. Step 5: Solve for x
    x = 16,991,482,914.85/149,452
  6. Step 6: Final answer
    x = 113,691.91

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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.