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Finding the Fourth Proportional to 55,221.62, 82,874.34 and 40,469.09

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Solution

The fourth proportional to 55,221.62, 82,874.34 and 40,469.09 is: 60,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,221.62 : 82,874.34 = 40,469.09 : x
  2. Step 2: Convert to fraction form
    55,221.62/82,874.34 = 40,469.09/x
  3. Step 3: Cross multiply
    55,221.62x = 82,874.34 × 40,469.09
  4. Step 4: Simplify right side
    55,221.62x = 3,353,848,709.78
  5. Step 5: Solve for x
    x = 3,353,848,709.78/55,221.62
  6. Step 6: Final answer
    x = 60,734.35

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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.