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Finding the Fourth Proportional to 254,255.72, 381,401.82 and 67,265

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Solution

The fourth proportional to 254,255.72, 381,401.82 and 67,265 is: 100,902.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,255.72 : 381,401.82 = 67,265 : x
  2. Step 2: Convert to fraction form
    254,255.72/381,401.82 = 67,265/x
  3. Step 3: Cross multiply
    254,255.72x = 381,401.82 × 67,265
  4. Step 4: Simplify right side
    254,255.72x = 25,654,993,422.30
  5. Step 5: Solve for x
    x = 25,654,993,422.30/254,255.72
  6. Step 6: Final answer
    x = 100,902.33

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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.