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Finding the Fourth Proportional to 281,870.31, 422,760.46 and 82,143.99

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Solution

The fourth proportional to 281,870.31, 422,760.46 and 82,143.99 is: 123,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,870.31 : 422,760.46 = 82,143.99 : x
  2. Step 2: Convert to fraction form
    281,870.31/422,760.46 = 82,143.99/x
  3. Step 3: Cross multiply
    281,870.31x = 422,760.46 × 82,143.99
  4. Step 4: Simplify right side
    281,870.31x = 34,727,230,998.64
  5. Step 5: Solve for x
    x = 34,727,230,998.64/281,870.31
  6. Step 6: Final answer
    x = 123,202.87

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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.