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Finding the Fourth Proportional to 218,022.30, 327,082.05 and 84,890.70

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Solution

The fourth proportional to 218,022.30, 327,082.05 and 84,890.70 is: 127,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,022.30 : 327,082.05 = 84,890.70 : x
  2. Step 2: Convert to fraction form
    218,022.30/327,082.05 = 84,890.70/x
  3. Step 3: Cross multiply
    218,022.30x = 327,082.05 × 84,890.70
  4. Step 4: Simplify right side
    218,022.30x = 27,766,224,181.94
  5. Step 5: Solve for x
    x = 27,766,224,181.94/218,022.30
  6. Step 6: Final answer
    x = 127,354.97

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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.