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Finding the Fourth Proportional to 281,859.75, 422,797.32 and 82,175.31

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Solution

The fourth proportional to 281,859.75, 422,797.32 and 82,175.31 is: 123,265.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,859.75 : 422,797.32 = 82,175.31 : x
  2. Step 2: Convert to fraction form
    281,859.75/422,797.32 = 82,175.31/x
  3. Step 3: Cross multiply
    281,859.75x = 422,797.32 × 82,175.31
  4. Step 4: Simplify right side
    281,859.75x = 34,743,500,838.17
  5. Step 5: Solve for x
    x = 34,743,500,838.17/281,859.75
  6. Step 6: Final answer
    x = 123,265.21

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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.