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Finding the Fourth Proportional to 57,370.68, 85,978.26 and 27,729.54

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Solution

The fourth proportional to 57,370.68, 85,978.26 and 27,729.54 is: 41,556.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,370.68 : 85,978.26 = 27,729.54 : x
  2. Step 2: Convert to fraction form
    57,370.68/85,978.26 = 27,729.54/x
  3. Step 3: Cross multiply
    57,370.68x = 85,978.26 × 27,729.54
  4. Step 4: Simplify right side
    57,370.68x = 2,384,137,599.80
  5. Step 5: Solve for x
    x = 2,384,137,599.80/57,370.68
  6. Step 6: Final answer
    x = 41,556.73

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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.