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Finding the Fourth Proportional to 57,751.76, 86,630.72 and 18,311.96

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Solution

The fourth proportional to 57,751.76, 86,630.72 and 18,311.96 is: 27,468.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,751.76 : 86,630.72 = 18,311.96 : x
  2. Step 2: Convert to fraction form
    57,751.76/86,630.72 = 18,311.96/x
  3. Step 3: Cross multiply
    57,751.76x = 86,630.72 × 18,311.96
  4. Step 4: Simplify right side
    57,751.76x = 1,586,378,279.41
  5. Step 5: Solve for x
    x = 1,586,378,279.41/57,751.76
  6. Step 6: Final answer
    x = 27,468.92

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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.