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Finding the Fourth Proportional to 217,676.10, 300,369.92 and 122,193.30

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Solution

The fourth proportional to 217,676.10, 300,369.92 and 122,193.30 is: 168,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,676.10 : 300,369.92 = 122,193.30 : x
  2. Step 2: Convert to fraction form
    217,676.10/300,369.92 = 122,193.30/x
  3. Step 3: Cross multiply
    217,676.10x = 300,369.92 × 122,193.30
  4. Step 4: Simplify right side
    217,676.10x = 36,703,191,745.54
  5. Step 5: Solve for x
    x = 36,703,191,745.54/217,676.10
  6. Step 6: Final answer
    x = 168,613.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.