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Finding the Fourth Proportional to 225,542.38, 338,182.32 and 85,311.94

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Solution

The fourth proportional to 225,542.38, 338,182.32 and 85,311.94 is: 127,918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,542.38 : 338,182.32 = 85,311.94 : x
  2. Step 2: Convert to fraction form
    225,542.38/338,182.32 = 85,311.94/x
  3. Step 3: Cross multiply
    225,542.38x = 338,182.32 × 85,311.94
  4. Step 4: Simplify right side
    225,542.38x = 28,850,988,101.99
  5. Step 5: Solve for x
    x = 28,850,988,101.99/225,542.38
  6. Step 6: Final answer
    x = 127,918.26

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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.