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Finding the Fourth Proportional to 76,745.22, 115,134.30 and 43,481.22

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Solution

The fourth proportional to 76,745.22, 115,134.30 and 43,481.22 is: 65,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,745.22 : 115,134.30 = 43,481.22 : x
  2. Step 2: Convert to fraction form
    76,745.22/115,134.30 = 43,481.22/x
  3. Step 3: Cross multiply
    76,745.22x = 115,134.30 × 43,481.22
  4. Step 4: Simplify right side
    76,745.22x = 5,006,179,827.85
  5. Step 5: Solve for x
    x = 5,006,179,827.85/76,745.22
  6. Step 6: Final answer
    x = 65,231.16

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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.