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Finding the Fourth Proportional to 85,234.92, 127,889.25 and 45,745.90

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Solution

The fourth proportional to 85,234.92, 127,889.25 and 45,745.90 is: 68,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,234.92 : 127,889.25 = 45,745.90 : x
  2. Step 2: Convert to fraction form
    85,234.92/127,889.25 = 45,745.90/x
  3. Step 3: Cross multiply
    85,234.92x = 127,889.25 × 45,745.90
  4. Step 4: Simplify right side
    85,234.92x = 5,850,408,350.30
  5. Step 5: Solve for x
    x = 5,850,408,350.30/85,234.92
  6. Step 6: Final answer
    x = 68,638.64

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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.