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Finding the Fourth Proportional to 57,139.57, 85,764.64 and 27,578.21

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Solution

The fourth proportional to 57,139.57, 85,764.64 and 27,578.21 is: 41,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,139.57 : 85,764.64 = 27,578.21 : x
  2. Step 2: Convert to fraction form
    57,139.57/85,764.64 = 27,578.21/x
  3. Step 3: Cross multiply
    57,139.57x = 85,764.64 × 27,578.21
  4. Step 4: Simplify right side
    57,139.57x = 2,365,235,329.01
  5. Step 5: Solve for x
    x = 2,365,235,329.01/57,139.57
  6. Step 6: Final answer
    x = 41,394.00

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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.