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Finding the Fourth Proportional to 206,861.69, 310,286.34 and 57,111.12

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Solution

The fourth proportional to 206,861.69, 310,286.34 and 57,111.12 is: 85,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,861.69 : 310,286.34 = 57,111.12 : x
  2. Step 2: Convert to fraction form
    206,861.69/310,286.34 = 57,111.12/x
  3. Step 3: Cross multiply
    206,861.69x = 310,286.34 × 57,111.12
  4. Step 4: Simplify right side
    206,861.69x = 17,720,800,398.10
  5. Step 5: Solve for x
    x = 17,720,800,398.10/206,861.69
  6. Step 6: Final answer
    x = 85,664.97

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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.