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Finding the Fourth Proportional to 120,381.78, 180,596.97 and 82,959.78

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Solution

The fourth proportional to 120,381.78, 180,596.97 and 82,959.78 is: 124,456.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,381.78 : 180,596.97 = 82,959.78 : x
  2. Step 2: Convert to fraction form
    120,381.78/180,596.97 = 82,959.78/x
  3. Step 3: Cross multiply
    120,381.78x = 180,596.97 × 82,959.78
  4. Step 4: Simplify right side
    120,381.78x = 14,982,284,899.87
  5. Step 5: Solve for x
    x = 14,982,284,899.87/120,381.78
  6. Step 6: Final answer
    x = 124,456.42

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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.