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Finding the Fourth Proportional to 67,081.29, 100,668.10 and 27,638.34

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Solution

The fourth proportional to 67,081.29, 100,668.10 and 27,638.34 is: 41,476.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,081.29 : 100,668.10 = 27,638.34 : x
  2. Step 2: Convert to fraction form
    67,081.29/100,668.10 = 27,638.34/x
  3. Step 3: Cross multiply
    67,081.29x = 100,668.10 × 27,638.34
  4. Step 4: Simplify right side
    67,081.29x = 2,782,299,174.95
  5. Step 5: Solve for x
    x = 2,782,299,174.95/67,081.29
  6. Step 6: Final answer
    x = 41,476.53

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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.