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Finding the Fourth Proportional to 149,231.52, 205,939.68 and 82,163.52

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Solution

The fourth proportional to 149,231.52, 205,939.68 and 82,163.52 is: 113,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,231.52 : 205,939.68 = 82,163.52 : x
  2. Step 2: Convert to fraction form
    149,231.52/205,939.68 = 82,163.52/x
  3. Step 3: Cross multiply
    149,231.52x = 205,939.68 × 82,163.52
  4. Step 4: Simplify right side
    149,231.52x = 16,920,729,016.47
  5. Step 5: Solve for x
    x = 16,920,729,016.47/149,231.52
  6. Step 6: Final answer
    x = 113,385.76

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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.