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Finding the Fourth Proportional to 57,149.32, 85,724 and 25,993.48

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Solution

The fourth proportional to 57,149.32, 85,724 and 25,993.48 is: 38,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,149.32 : 85,724 = 25,993.48 : x
  2. Step 2: Convert to fraction form
    57,149.32/85,724 = 25,993.48/x
  3. Step 3: Cross multiply
    57,149.32x = 85,724 × 25,993.48
  4. Step 4: Simplify right side
    57,149.32x = 2,228,265,079.52
  5. Step 5: Solve for x
    x = 2,228,265,079.52/57,149.32
  6. Step 6: Final answer
    x = 38,990.23

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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.