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Finding the Fourth Proportional to 85,251.76, 127,761.92 and 45,260.64

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Solution

The fourth proportional to 85,251.76, 127,761.92 and 45,260.64 is: 67,829.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,251.76 : 127,761.92 = 45,260.64 : x
  2. Step 2: Convert to fraction form
    85,251.76/127,761.92 = 45,260.64/x
  3. Step 3: Cross multiply
    85,251.76x = 127,761.92 × 45,260.64
  4. Step 4: Simplify right side
    85,251.76x = 5,782,586,266.83
  5. Step 5: Solve for x
    x = 5,782,586,266.83/85,251.76
  6. Step 6: Final answer
    x = 67,829.52

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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.