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Finding the Fourth Proportional to 76,625.78, 115,046.22 and 39,212.70

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Solution

The fourth proportional to 76,625.78, 115,046.22 and 39,212.70 is: 58,874.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,625.78 : 115,046.22 = 39,212.70 : x
  2. Step 2: Convert to fraction form
    76,625.78/115,046.22 = 39,212.70/x
  3. Step 3: Cross multiply
    76,625.78x = 115,046.22 × 39,212.70
  4. Step 4: Simplify right side
    76,625.78x = 4,511,272,910.99
  5. Step 5: Solve for x
    x = 4,511,272,910.99/76,625.78
  6. Step 6: Final answer
    x = 58,874.09

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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.