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Finding the Fourth Proportional to 205,879.13, 308,843.60 and 72,732.14

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Solution

The fourth proportional to 205,879.13, 308,843.60 and 72,732.14 is: 109,107.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,879.13 : 308,843.60 = 72,732.14 : x
  2. Step 2: Convert to fraction form
    205,879.13/308,843.60 = 72,732.14/x
  3. Step 3: Cross multiply
    205,879.13x = 308,843.60 × 72,732.14
  4. Step 4: Simplify right side
    205,879.13x = 22,462,855,953.30
  5. Step 5: Solve for x
    x = 22,462,855,953.30/205,879.13
  6. Step 6: Final answer
    x = 109,107.01

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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.