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Finding the Fourth Proportional to 215,211, 322,868.38 and 67,467

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Solution

The fourth proportional to 215,211, 322,868.38 and 67,467 is: 101,216.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,211 : 322,868.38 = 67,467 : x
  2. Step 2: Convert to fraction form
    215,211/322,868.38 = 67,467/x
  3. Step 3: Cross multiply
    215,211x = 322,868.38 × 67,467
  4. Step 4: Simplify right side
    215,211x = 21,782,960,993.46
  5. Step 5: Solve for x
    x = 21,782,960,993.46/215,211
  6. Step 6: Final answer
    x = 101,216.76

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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.