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Finding the Fourth Proportional to 53,800, 80,712.96 and 16,864

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Solution

The fourth proportional to 53,800, 80,712.96 and 16,864 is: 25,300.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,800 : 80,712.96 = 16,864 : x
  2. Step 2: Convert to fraction form
    53,800/80,712.96 = 16,864/x
  3. Step 3: Cross multiply
    53,800x = 80,712.96 × 16,864
  4. Step 4: Simplify right side
    53,800x = 1,361,143,357.44
  5. Step 5: Solve for x
    x = 1,361,143,357.44/53,800
  6. Step 6: Final answer
    x = 25,300.06

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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.