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Finding the Fourth Proportional to 67,814.10, 101,757.60 and 28,375.20

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Solution

The fourth proportional to 67,814.10, 101,757.60 and 28,375.20 is: 42,578.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,814.10 : 101,757.60 = 28,375.20 : x
  2. Step 2: Convert to fraction form
    67,814.10/101,757.60 = 28,375.20/x
  3. Step 3: Cross multiply
    67,814.10x = 101,757.60 × 28,375.20
  4. Step 4: Simplify right side
    67,814.10x = 2,887,392,251.52
  5. Step 5: Solve for x
    x = 2,887,392,251.52/67,814.10
  6. Step 6: Final answer
    x = 42,578.05

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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.