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Finding the Fourth Proportional to 254,375.50, 381,570.54 and 67,387

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Solution

The fourth proportional to 254,375.50, 381,570.54 and 67,387 is: 101,082.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,375.50 : 381,570.54 = 67,387 : x
  2. Step 2: Convert to fraction form
    254,375.50/381,570.54 = 67,387/x
  3. Step 3: Cross multiply
    254,375.50x = 381,570.54 × 67,387
  4. Step 4: Simplify right side
    254,375.50x = 25,712,893,978.98
  5. Step 5: Solve for x
    x = 25,712,893,978.98/254,375.50
  6. Step 6: Final answer
    x = 101,082.43

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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.