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Finding the Fourth Proportional to 325,181.87, 487,761.09 and 85,293.86

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Solution

The fourth proportional to 325,181.87, 487,761.09 and 85,293.86 is: 127,937.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,181.87 : 487,761.09 = 85,293.86 : x
  2. Step 2: Convert to fraction form
    325,181.87/487,761.09 = 85,293.86/x
  3. Step 3: Cross multiply
    325,181.87x = 487,761.09 × 85,293.86
  4. Step 4: Simplify right side
    325,181.87x = 41,603,023,365.25
  5. Step 5: Solve for x
    x = 41,603,023,365.25/325,181.87
  6. Step 6: Final answer
    x = 127,937.71

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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.