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Finding the Fourth Proportional to 57,139.90, 85,765.13 and 27,578.54

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Solution

The fourth proportional to 57,139.90, 85,765.13 and 27,578.54 is: 41,394.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,139.90 : 85,765.13 = 27,578.54 : x
  2. Step 2: Convert to fraction form
    57,139.90/85,765.13 = 27,578.54/x
  3. Step 3: Cross multiply
    57,139.90x = 85,765.13 × 27,578.54
  4. Step 4: Simplify right side
    57,139.90x = 2,365,276,930.42
  5. Step 5: Solve for x
    x = 2,365,276,930.42/57,139.90
  6. Step 6: Final answer
    x = 41,394.49

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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.