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Finding the Fourth Proportional to 81,745.75, 122,618.46 and 22,581.25

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Solution

The fourth proportional to 81,745.75, 122,618.46 and 22,581.25 is: 33,871.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,745.75 : 122,618.46 = 22,581.25 : x
  2. Step 2: Convert to fraction form
    81,745.75/122,618.46 = 22,581.25/x
  3. Step 3: Cross multiply
    81,745.75x = 122,618.46 × 22,581.25
  4. Step 4: Simplify right side
    81,745.75x = 2,768,878,099.88
  5. Step 5: Solve for x
    x = 2,768,878,099.88/81,745.75
  6. Step 6: Final answer
    x = 33,871.83

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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.