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Finding the Fourth Proportional to 87,778, 131,667 and 25,449.04

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Solution

The fourth proportional to 87,778, 131,667 and 25,449.04 is: 38,173.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,778 : 131,667 = 25,449.04 : x
  2. Step 2: Convert to fraction form
    87,778/131,667 = 25,449.04/x
  3. Step 3: Cross multiply
    87,778x = 131,667 × 25,449.04
  4. Step 4: Simplify right side
    87,778x = 3,350,798,749.68
  5. Step 5: Solve for x
    x = 3,350,798,749.68/87,778
  6. Step 6: Final answer
    x = 38,173.56

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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.