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Finding the Fourth Proportional to 205,773.20, 308,659.80 and 121,446.80

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Solution

The fourth proportional to 205,773.20, 308,659.80 and 121,446.80 is: 182,170.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,773.20 : 308,659.80 = 121,446.80 : x
  2. Step 2: Convert to fraction form
    205,773.20/308,659.80 = 121,446.80/x
  3. Step 3: Cross multiply
    205,773.20x = 308,659.80 × 121,446.80
  4. Step 4: Simplify right side
    205,773.20x = 37,485,744,998.64
  5. Step 5: Solve for x
    x = 37,485,744,998.64/205,773.20
  6. Step 6: Final answer
    x = 182,170.20

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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.