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Finding the Fourth Proportional to 205,302.20, 308,091.80 and 72,183.15

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Solution

The fourth proportional to 205,302.20, 308,091.80 and 72,183.15 is: 108,323.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,302.20 : 308,091.80 = 72,183.15 : x
  2. Step 2: Convert to fraction form
    205,302.20/308,091.80 = 72,183.15/x
  3. Step 3: Cross multiply
    205,302.20x = 308,091.80 × 72,183.15
  4. Step 4: Simplify right side
    205,302.20x = 22,239,036,793.63
  5. Step 5: Solve for x
    x = 22,239,036,793.63/205,302.20
  6. Step 6: Final answer
    x = 108,323.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.