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Finding the Fourth Proportional to 216,163.84, 324,241.92 and 68,416

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Solution

The fourth proportional to 216,163.84, 324,241.92 and 68,416 is: 102,622.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,163.84 : 324,241.92 = 68,416 : x
  2. Step 2: Convert to fraction form
    216,163.84/324,241.92 = 68,416/x
  3. Step 3: Cross multiply
    216,163.84x = 324,241.92 × 68,416
  4. Step 4: Simplify right side
    216,163.84x = 22,183,335,198.72
  5. Step 5: Solve for x
    x = 22,183,335,198.72/216,163.84
  6. Step 6: Final answer
    x = 102,622.78

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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.