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Finding the Fourth Proportional to 137,446.20, 206,169.30 and 43,961.40

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Solution

The fourth proportional to 137,446.20, 206,169.30 and 43,961.40 is: 65,942.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,446.20 : 206,169.30 = 43,961.40 : x
  2. Step 2: Convert to fraction form
    137,446.20/206,169.30 = 43,961.40/x
  3. Step 3: Cross multiply
    137,446.20x = 206,169.30 × 43,961.40
  4. Step 4: Simplify right side
    137,446.20x = 9,063,491,065.02
  5. Step 5: Solve for x
    x = 9,063,491,065.02/137,446.20
  6. Step 6: Final answer
    x = 65,942.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.