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Finding the Fourth Proportional to 216,211.84, 324,313.92 and 68,464

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Solution

The fourth proportional to 216,211.84, 324,313.92 and 68,464 is: 102,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,211.84 : 324,313.92 = 68,464 : x
  2. Step 2: Convert to fraction form
    216,211.84/324,313.92 = 68,464/x
  3. Step 3: Cross multiply
    216,211.84x = 324,313.92 × 68,464
  4. Step 4: Simplify right side
    216,211.84x = 22,203,828,218.88
  5. Step 5: Solve for x
    x = 22,203,828,218.88/216,211.84
  6. Step 6: Final answer
    x = 102,694.78

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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.