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Finding the Fourth Proportional to 67,227.67, 100,831.74 and 19,840.44

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Solution

The fourth proportional to 67,227.67, 100,831.74 and 19,840.44 is: 29,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,227.67 : 100,831.74 = 19,840.44 : x
  2. Step 2: Convert to fraction form
    67,227.67/100,831.74 = 19,840.44/x
  3. Step 3: Cross multiply
    67,227.67x = 100,831.74 × 19,840.44
  4. Step 4: Simplify right side
    67,227.67x = 2,000,546,391.28
  5. Step 5: Solve for x
    x = 2,000,546,391.28/67,227.67
  6. Step 6: Final answer
    x = 29,757.78

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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.