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Finding the Fourth Proportional to 54,203.91, 81,326.82 and 20,914.73

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Solution

The fourth proportional to 54,203.91, 81,326.82 and 20,914.73 is: 31,380.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,203.91 : 81,326.82 = 20,914.73 : x
  2. Step 2: Convert to fraction form
    54,203.91/81,326.82 = 20,914.73/x
  3. Step 3: Cross multiply
    54,203.91x = 81,326.82 × 20,914.73
  4. Step 4: Simplify right side
    54,203.91x = 1,700,928,658.15
  5. Step 5: Solve for x
    x = 1,700,928,658.15/54,203.91
  6. Step 6: Final answer
    x = 31,380.18

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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.