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Finding the Fourth Proportional to 68,571.22, 102,819.85 and 31,110.86

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Solution

The fourth proportional to 68,571.22, 102,819.85 and 31,110.86 is: 46,649.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,571.22 : 102,819.85 = 31,110.86 : x
  2. Step 2: Convert to fraction form
    68,571.22/102,819.85 = 31,110.86/x
  3. Step 3: Cross multiply
    68,571.22x = 102,819.85 × 31,110.86
  4. Step 4: Simplify right side
    68,571.22x = 3,198,813,958.57
  5. Step 5: Solve for x
    x = 3,198,813,958.57/68,571.22
  6. Step 6: Final answer
    x = 46,649.51

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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.