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Finding the Fourth Proportional to 81,676.29, 122,519.04 and 29,085.78

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Solution

The fourth proportional to 81,676.29, 122,519.04 and 29,085.78 is: 43,630.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,676.29 : 122,519.04 = 29,085.78 : x
  2. Step 2: Convert to fraction form
    81,676.29/122,519.04 = 29,085.78/x
  3. Step 3: Cross multiply
    81,676.29x = 122,519.04 × 29,085.78
  4. Step 4: Simplify right side
    81,676.29x = 3,563,561,843.25
  5. Step 5: Solve for x
    x = 3,563,561,843.25/81,676.29
  6. Step 6: Final answer
    x = 43,630.31

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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.