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Finding the Fourth Proportional to 54,107.80, 81,161.70 and 30,488.20

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Solution

The fourth proportional to 54,107.80, 81,161.70 and 30,488.20 is: 45,732.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,107.80 : 81,161.70 = 30,488.20 : x
  2. Step 2: Convert to fraction form
    54,107.80/81,161.70 = 30,488.20/x
  3. Step 3: Cross multiply
    54,107.80x = 81,161.70 × 30,488.20
  4. Step 4: Simplify right side
    54,107.80x = 2,474,474,141.94
  5. Step 5: Solve for x
    x = 2,474,474,141.94/54,107.80
  6. Step 6: Final answer
    x = 45,732.30

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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.