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Finding the Fourth Proportional to 85,282.46, 127,757.46 and 51,919.78

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Solution

The fourth proportional to 85,282.46, 127,757.46 and 51,919.78 is: 77,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,282.46 : 127,757.46 = 51,919.78 : x
  2. Step 2: Convert to fraction form
    85,282.46/127,757.46 = 51,919.78/x
  3. Step 3: Cross multiply
    85,282.46x = 127,757.46 × 51,919.78
  4. Step 4: Simplify right side
    85,282.46x = 6,633,138,577.77
  5. Step 5: Solve for x
    x = 6,633,138,577.77/85,282.46
  6. Step 6: Final answer
    x = 77,778.46

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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.