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Finding the Fourth Proportional to 206,879.38, 310,318.51 and 55,076.46

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Solution

The fourth proportional to 206,879.38, 310,318.51 and 55,076.46 is: 82,614.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,879.38 : 310,318.51 = 55,076.46 : x
  2. Step 2: Convert to fraction form
    206,879.38/310,318.51 = 55,076.46/x
  3. Step 3: Cross multiply
    206,879.38x = 310,318.51 × 55,076.46
  4. Step 4: Simplify right side
    206,879.38x = 17,091,243,451.68
  5. Step 5: Solve for x
    x = 17,091,243,451.68/206,879.38
  6. Step 6: Final answer
    x = 82,614.54

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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.