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Finding the Fourth Proportional to 281,796.90, 422,711.55 and 82,148.10

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Solution

The fourth proportional to 281,796.90, 422,711.55 and 82,148.10 is: 123,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,796.90 : 422,711.55 = 82,148.10 : x
  2. Step 2: Convert to fraction form
    281,796.90/422,711.55 = 82,148.10/x
  3. Step 3: Cross multiply
    281,796.90x = 422,711.55 × 82,148.10
  4. Step 4: Simplify right side
    281,796.90x = 34,724,950,680.56
  5. Step 5: Solve for x
    x = 34,724,950,680.56/281,796.90
  6. Step 6: Final answer
    x = 123,226.87

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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.