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Finding the Fourth Proportional to 67,542.84, 101,306.58 and 18,291

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Solution

The fourth proportional to 67,542.84, 101,306.58 and 18,291 is: 27,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,542.84 : 101,306.58 = 18,291 : x
  2. Step 2: Convert to fraction form
    67,542.84/101,306.58 = 18,291/x
  3. Step 3: Cross multiply
    67,542.84x = 101,306.58 × 18,291
  4. Step 4: Simplify right side
    67,542.84x = 1,852,998,654.78
  5. Step 5: Solve for x
    x = 1,852,998,654.78/67,542.84
  6. Step 6: Final answer
    x = 27,434.42

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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.