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Finding the Fourth Proportional to 218,412.43, 327,618.39 and 68,665.80

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Solution

The fourth proportional to 218,412.43, 327,618.39 and 68,665.80 is: 102,998.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,412.43 : 327,618.39 = 68,665.80 : x
  2. Step 2: Convert to fraction form
    218,412.43/327,618.39 = 68,665.80/x
  3. Step 3: Cross multiply
    218,412.43x = 327,618.39 × 68,665.80
  4. Step 4: Simplify right side
    218,412.43x = 22,496,178,844.06
  5. Step 5: Solve for x
    x = 22,496,178,844.06/218,412.43
  6. Step 6: Final answer
    x = 102,998.62

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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.