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Finding the Fourth Proportional to 54,015.82, 81,031.82 and 18,949.30

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Solution

The fourth proportional to 54,015.82, 81,031.82 and 18,949.30 is: 28,426.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,015.82 : 81,031.82 = 18,949.30 : x
  2. Step 2: Convert to fraction form
    54,015.82/81,031.82 = 18,949.30/x
  3. Step 3: Cross multiply
    54,015.82x = 81,031.82 × 18,949.30
  4. Step 4: Simplify right side
    54,015.82x = 1,535,496,266.73
  5. Step 5: Solve for x
    x = 1,535,496,266.73/54,015.82
  6. Step 6: Final answer
    x = 28,426.79

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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.