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Finding the Fourth Proportional to 217,951.84, 300,765.16 and 122,462.56

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Solution

The fourth proportional to 217,951.84, 300,765.16 and 122,462.56 is: 168,993.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,951.84 : 300,765.16 = 122,462.56 : x
  2. Step 2: Convert to fraction form
    217,951.84/300,765.16 = 122,462.56/x
  3. Step 3: Cross multiply
    217,951.84x = 300,765.16 × 122,462.56
  4. Step 4: Simplify right side
    217,951.84x = 36,832,471,452.41
  5. Step 5: Solve for x
    x = 36,832,471,452.41/217,951.84
  6. Step 6: Final answer
    x = 168,993.62

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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.