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Finding the Fourth Proportional to 81,889.57, 122,835.87 and 25,728.63

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Solution

The fourth proportional to 81,889.57, 122,835.87 and 25,728.63 is: 38,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,889.57 : 122,835.87 = 25,728.63 : x
  2. Step 2: Convert to fraction form
    81,889.57/122,835.87 = 25,728.63/x
  3. Step 3: Cross multiply
    81,889.57x = 122,835.87 × 25,728.63
  4. Step 4: Simplify right side
    81,889.57x = 3,160,398,649.96
  5. Step 5: Solve for x
    x = 3,160,398,649.96/81,889.57
  6. Step 6: Final answer
    x = 38,593.42

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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.