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Finding the Fourth Proportional to 149,342, 206,091.96 and 82,275.44

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Solution

The fourth proportional to 149,342, 206,091.96 and 82,275.44 is: 113,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,342 : 206,091.96 = 82,275.44 : x
  2. Step 2: Convert to fraction form
    149,342/206,091.96 = 82,275.44/x
  3. Step 3: Cross multiply
    149,342x = 206,091.96 × 82,275.44
  4. Step 4: Simplify right side
    149,342x = 16,956,306,689.46
  5. Step 5: Solve for x
    x = 16,956,306,689.46/149,342
  6. Step 6: Final answer
    x = 113,540.11

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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.