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Finding the Fourth Proportional to 57,726, 86,591.52 and 18,286.02

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Solution

The fourth proportional to 57,726, 86,591.52 and 18,286.02 is: 27,429.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,726 : 86,591.52 = 18,286.02 : x
  2. Step 2: Convert to fraction form
    57,726/86,591.52 = 18,286.02/x
  3. Step 3: Cross multiply
    57,726x = 86,591.52 × 18,286.02
  4. Step 4: Simplify right side
    57,726x = 1,583,414,266.55
  5. Step 5: Solve for x
    x = 1,583,414,266.55/57,726
  6. Step 6: Final answer
    x = 27,429.83

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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.