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Finding the Fourth Proportional to 216,165.84, 324,244.92 and 68,418

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Solution

The fourth proportional to 216,165.84, 324,244.92 and 68,418 is: 102,625.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,165.84 : 324,244.92 = 68,418 : x
  2. Step 2: Convert to fraction form
    216,165.84/324,244.92 = 68,418/x
  3. Step 3: Cross multiply
    216,165.84x = 324,244.92 × 68,418
  4. Step 4: Simplify right side
    216,165.84x = 22,184,188,936.56
  5. Step 5: Solve for x
    x = 22,184,188,936.56/216,165.84
  6. Step 6: Final answer
    x = 102,625.78

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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.