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Finding the Fourth Proportional to 205,015.20, 306,939.60 and 181,687.20

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Solution

The fourth proportional to 205,015.20, 306,939.60 and 181,687.20 is: 272,013.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,015.20 : 306,939.60 = 181,687.20 : x
  2. Step 2: Convert to fraction form
    205,015.20/306,939.60 = 181,687.20/x
  3. Step 3: Cross multiply
    205,015.20x = 306,939.60 × 181,687.20
  4. Step 4: Simplify right side
    205,015.20x = 55,766,996,493.12
  5. Step 5: Solve for x
    x = 55,766,996,493.12/205,015.20
  6. Step 6: Final answer
    x = 272,013.96

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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.