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Finding the Fourth Proportional to 205,879.49, 308,844.15 and 72,732.50

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Solution

The fourth proportional to 205,879.49, 308,844.15 and 72,732.50 is: 109,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,879.49 : 308,844.15 = 72,732.50 : x
  2. Step 2: Convert to fraction form
    205,879.49/308,844.15 = 72,732.50/x
  3. Step 3: Cross multiply
    205,879.49x = 308,844.15 × 72,732.50
  4. Step 4: Simplify right side
    205,879.49x = 22,463,005,231.99
  5. Step 5: Solve for x
    x = 22,463,005,231.99/205,879.49
  6. Step 6: Final answer
    x = 109,107.55

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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.