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Finding the Fourth Proportional to 218,411.43, 327,616.89 and 68,664.80

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Solution

The fourth proportional to 218,411.43, 327,616.89 and 68,664.80 is: 102,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,411.43 : 327,616.89 = 68,664.80 : x
  2. Step 2: Convert to fraction form
    218,411.43/327,616.89 = 68,664.80/x
  3. Step 3: Cross multiply
    218,411.43x = 327,616.89 × 68,664.80
  4. Step 4: Simplify right side
    218,411.43x = 22,495,748,790.02
  5. Step 5: Solve for x
    x = 22,495,748,790.02/218,411.43
  6. Step 6: Final answer
    x = 102,997.12

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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.