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Finding the Fourth Proportional to 206,869.86, 310,305.87 and 82,211.22

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Solution

The fourth proportional to 206,869.86, 310,305.87 and 82,211.22 is: 123,317.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,869.86 : 310,305.87 = 82,211.22 : x
  2. Step 2: Convert to fraction form
    206,869.86/310,305.87 = 82,211.22/x
  3. Step 3: Cross multiply
    206,869.86x = 310,305.87 × 82,211.22
  4. Step 4: Simplify right side
    206,869.86x = 25,510,624,145.86
  5. Step 5: Solve for x
    x = 25,510,624,145.86/206,869.86
  6. Step 6: Final answer
    x = 123,317.26

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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.