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Finding the Fourth Proportional to 71,778.78, 107,645.21 and 23,738.47

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Solution

The fourth proportional to 71,778.78, 107,645.21 and 23,738.47 is: 35,600.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,778.78 : 107,645.21 = 23,738.47 : x
  2. Step 2: Convert to fraction form
    71,778.78/107,645.21 = 23,738.47/x
  3. Step 3: Cross multiply
    71,778.78x = 107,645.21 × 23,738.47
  4. Step 4: Simplify right side
    71,778.78x = 2,555,332,050.00
  5. Step 5: Solve for x
    x = 2,555,332,050.00/71,778.78
  6. Step 6: Final answer
    x = 35,600.10

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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.