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Finding the Fourth Proportional to 281,760.52, 422,706.30 and 82,102.12

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Solution

The fourth proportional to 281,760.52, 422,706.30 and 82,102.12 is: 123,172.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,760.52 : 422,706.30 = 82,102.12 : x
  2. Step 2: Convert to fraction form
    281,760.52/422,706.30 = 82,102.12/x
  3. Step 3: Cross multiply
    281,760.52x = 422,706.30 × 82,102.12
  4. Step 4: Simplify right side
    281,760.52x = 34,705,083,367.36
  5. Step 5: Solve for x
    x = 34,705,083,367.36/281,760.52
  6. Step 6: Final answer
    x = 123,172.27

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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.