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Finding the Fourth Proportional to 81,676.33, 112,751.22 and 54,497.59

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Solution

The fourth proportional to 81,676.33, 112,751.22 and 54,497.59 is: 75,231.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,676.33 : 112,751.22 = 54,497.59 : x
  2. Step 2: Convert to fraction form
    81,676.33/112,751.22 = 54,497.59/x
  3. Step 3: Cross multiply
    81,676.33x = 112,751.22 × 54,497.59
  4. Step 4: Simplify right side
    81,676.33x = 6,144,669,759.56
  5. Step 5: Solve for x
    x = 6,144,669,759.56/81,676.33
  6. Step 6: Final answer
    x = 75,231.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.