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Finding the Fourth Proportional to 54,489.34, 81,727.80 and 18,943.84

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Solution

The fourth proportional to 54,489.34, 81,727.80 and 18,943.84 is: 28,413.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,489.34 : 81,727.80 = 18,943.84 : x
  2. Step 2: Convert to fraction form
    54,489.34/81,727.80 = 18,943.84/x
  3. Step 3: Cross multiply
    54,489.34x = 81,727.80 × 18,943.84
  4. Step 4: Simplify right side
    54,489.34x = 1,548,238,366.75
  5. Step 5: Solve for x
    x = 1,548,238,366.75/54,489.34
  6. Step 6: Final answer
    x = 28,413.60

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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.