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Finding the Fourth Proportional to 57,578.70, 86,380.20 and 18,139.80

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Solution

The fourth proportional to 57,578.70, 86,380.20 and 18,139.80 is: 27,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,578.70 : 86,380.20 = 18,139.80 : x
  2. Step 2: Convert to fraction form
    57,578.70/86,380.20 = 18,139.80/x
  3. Step 3: Cross multiply
    57,578.70x = 86,380.20 × 18,139.80
  4. Step 4: Simplify right side
    57,578.70x = 1,566,919,551.96
  5. Step 5: Solve for x
    x = 1,566,919,551.96/57,578.70
  6. Step 6: Final answer
    x = 27,213.53

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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.