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Finding the Fourth Proportional to 217,540.74, 300,224.31 and 120,753.69

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Solution

The fourth proportional to 217,540.74, 300,224.31 and 120,753.69 is: 166,650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,540.74 : 300,224.31 = 120,753.69 : x
  2. Step 2: Convert to fraction form
    217,540.74/300,224.31 = 120,753.69/x
  3. Step 3: Cross multiply
    217,540.74x = 300,224.31 × 120,753.69
  4. Step 4: Simplify right side
    217,540.74x = 36,253,192,525.92
  5. Step 5: Solve for x
    x = 36,253,192,525.92/217,540.74
  6. Step 6: Final answer
    x = 166,650.13

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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.