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Finding the Fourth Proportional to 39,204, 54,101.52 and 21,540

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Solution

The fourth proportional to 39,204, 54,101.52 and 21,540 is: 29,725.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,204 : 54,101.52 = 21,540 : x
  2. Step 2: Convert to fraction form
    39,204/54,101.52 = 21,540/x
  3. Step 3: Cross multiply
    39,204x = 54,101.52 × 21,540
  4. Step 4: Simplify right side
    39,204x = 1,165,346,740.80
  5. Step 5: Solve for x
    x = 1,165,346,740.80/39,204
  6. Step 6: Final answer
    x = 29,725.20

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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.