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Finding the Fourth Proportional to 213,902.98, 321,169.86 and 119,317.96

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Solution

The fourth proportional to 213,902.98, 321,169.86 and 119,317.96 is: 179,152.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,902.98 : 321,169.86 = 119,317.96 : x
  2. Step 2: Convert to fraction form
    213,902.98/321,169.86 = 119,317.96/x
  3. Step 3: Cross multiply
    213,902.98x = 321,169.86 × 119,317.96
  4. Step 4: Simplify right side
    213,902.98x = 38,321,332,508.69
  5. Step 5: Solve for x
    x = 38,321,332,508.69/213,902.98
  6. Step 6: Final answer
    x = 179,152.87

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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.