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Finding the Fourth Proportional to 57,961.50, 79,986.87 and 32,811

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Solution

The fourth proportional to 57,961.50, 79,986.87 and 32,811 is: 45,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,961.50 : 79,986.87 = 32,811 : x
  2. Step 2: Convert to fraction form
    57,961.50/79,986.87 = 32,811/x
  3. Step 3: Cross multiply
    57,961.50x = 79,986.87 × 32,811
  4. Step 4: Simplify right side
    57,961.50x = 2,624,449,191.57
  5. Step 5: Solve for x
    x = 2,624,449,191.57/57,961.50
  6. Step 6: Final answer
    x = 45,279.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.