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Finding the Fourth Proportional to 39,195, 54,089.10 and 21,531

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Solution

The fourth proportional to 39,195, 54,089.10 and 21,531 is: 29,712.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,195 : 54,089.10 = 21,531 : x
  2. Step 2: Convert to fraction form
    39,195/54,089.10 = 21,531/x
  3. Step 3: Cross multiply
    39,195x = 54,089.10 × 21,531
  4. Step 4: Simplify right side
    39,195x = 1,164,592,412.10
  5. Step 5: Solve for x
    x = 1,164,592,412.10/39,195
  6. Step 6: Final answer
    x = 29,712.78

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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.