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Finding the Fourth Proportional to 218,674.35, 327,898.13 and 100,243.71

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Solution

The fourth proportional to 218,674.35, 327,898.13 and 100,243.71 is: 150,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,674.35 : 327,898.13 = 100,243.71 : x
  2. Step 2: Convert to fraction form
    218,674.35/327,898.13 = 100,243.71/x
  3. Step 3: Cross multiply
    218,674.35x = 327,898.13 × 100,243.71
  4. Step 4: Simplify right side
    218,674.35x = 32,869,724,552.04
  5. Step 5: Solve for x
    x = 32,869,724,552.04/218,674.35
  6. Step 6: Final answer
    x = 150,313.58

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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.