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Finding the Fourth Proportional to 85,138.89, 127,511.49 and 82,186.44

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Solution

The fourth proportional to 85,138.89, 127,511.49 and 82,186.44 is: 123,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,138.89 : 127,511.49 = 82,186.44 : x
  2. Step 2: Convert to fraction form
    85,138.89/127,511.49 = 82,186.44/x
  3. Step 3: Cross multiply
    85,138.89x = 127,511.49 × 82,186.44
  4. Step 4: Simplify right side
    85,138.89x = 10,479,715,422.20
  5. Step 5: Solve for x
    x = 10,479,715,422.20/85,138.89
  6. Step 6: Final answer
    x = 123,089.64

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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.