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Finding the Fourth Proportional to 217,891.46, 300,657.48 and 122,379.86

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Solution

The fourth proportional to 217,891.46, 300,657.48 and 122,379.86 is: 168,865.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,891.46 : 300,657.48 = 122,379.86 : x
  2. Step 2: Convert to fraction form
    217,891.46/300,657.48 = 122,379.86/x
  3. Step 3: Cross multiply
    217,891.46x = 300,657.48 × 122,379.86
  4. Step 4: Simplify right side
    217,891.46x = 36,794,420,310.35
  5. Step 5: Solve for x
    x = 36,794,420,310.35/217,891.46
  6. Step 6: Final answer
    x = 168,865.82

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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.