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Finding the Fourth Proportional to 216,288, 324,432 and 68,544

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Solution

The fourth proportional to 216,288, 324,432 and 68,544 is: 102,816

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,288 : 324,432 = 68,544 : x
  2. Step 2: Convert to fraction form
    216,288/324,432 = 68,544/x
  3. Step 3: Cross multiply
    216,288x = 324,432 × 68,544
  4. Step 4: Simplify right side
    216,288x = 22,237,867,008
  5. Step 5: Solve for x
    x = 22,237,867,008/216,288
  6. Step 6: Final answer
    x = 102,816

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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.