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Finding the Fourth Proportional to 39,228, 54,135.84 and 22,231.82

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Solution

The fourth proportional to 39,228, 54,135.84 and 22,231.82 is: 30,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,228 : 54,135.84 = 22,231.82 : x
  2. Step 2: Convert to fraction form
    39,228/54,135.84 = 22,231.82/x
  3. Step 3: Cross multiply
    39,228x = 54,135.84 × 22,231.82
  4. Step 4: Simplify right side
    39,228x = 1,203,538,250.43
  5. Step 5: Solve for x
    x = 1,203,538,250.43/39,228
  6. Step 6: Final answer
    x = 30,680.59

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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.