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Finding the Fourth Proportional to 218,223.65, 327,036.87 and 164,871.78

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Solution

The fourth proportional to 218,223.65, 327,036.87 and 164,871.78 is: 247,082.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,223.65 : 327,036.87 = 164,871.78 : x
  2. Step 2: Convert to fraction form
    218,223.65/327,036.87 = 164,871.78/x
  3. Step 3: Cross multiply
    218,223.65x = 327,036.87 × 164,871.78
  4. Step 4: Simplify right side
    218,223.65x = 53,919,150,882.53
  5. Step 5: Solve for x
    x = 53,919,150,882.53/218,223.65
  6. Step 6: Final answer
    x = 247,082.07

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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.