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Finding the Fourth Proportional to 149,321.78, 206,049.10 and 91,951.90

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Solution

The fourth proportional to 149,321.78, 206,049.10 and 91,951.90 is: 126,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,321.78 : 206,049.10 = 91,951.90 : x
  2. Step 2: Convert to fraction form
    149,321.78/206,049.10 = 91,951.90/x
  3. Step 3: Cross multiply
    149,321.78x = 206,049.10 × 91,951.90
  4. Step 4: Simplify right side
    149,321.78x = 18,946,606,238.29
  5. Step 5: Solve for x
    x = 18,946,606,238.29/149,321.78
  6. Step 6: Final answer
    x = 126,884.41

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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.