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Finding the Fourth Proportional to 253,251.42, 379,889.82 and 75,759.90

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Solution

The fourth proportional to 253,251.42, 379,889.82 and 75,759.90 is: 113,643.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,251.42 : 379,889.82 = 75,759.90 : x
  2. Step 2: Convert to fraction form
    253,251.42/379,889.82 = 75,759.90/x
  3. Step 3: Cross multiply
    253,251.42x = 379,889.82 × 75,759.90
  4. Step 4: Simplify right side
    253,251.42x = 28,780,414,774.22
  5. Step 5: Solve for x
    x = 28,780,414,774.22/253,251.42
  6. Step 6: Final answer
    x = 113,643.65

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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.