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Finding the Fourth Proportional to 206,644.67, 310,085.27 and 80,268.56

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Solution

The fourth proportional to 206,644.67, 310,085.27 and 80,268.56 is: 120,448.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,644.67 : 310,085.27 = 80,268.56 : x
  2. Step 2: Convert to fraction form
    206,644.67/310,085.27 = 80,268.56/x
  3. Step 3: Cross multiply
    206,644.67x = 310,085.27 × 80,268.56
  4. Step 4: Simplify right side
    206,644.67x = 24,890,097,698.77
  5. Step 5: Solve for x
    x = 24,890,097,698.77/206,644.67
  6. Step 6: Final answer
    x = 120,448.78

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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.