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Finding the Fourth Proportional to 281,805.40, 422,724.30 and 82,156.60

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Solution

The fourth proportional to 281,805.40, 422,724.30 and 82,156.60 is: 123,239.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,805.40 : 422,724.30 = 82,156.60 : x
  2. Step 2: Convert to fraction form
    281,805.40/422,724.30 = 82,156.60/x
  3. Step 3: Cross multiply
    281,805.40x = 422,724.30 × 82,156.60
  4. Step 4: Simplify right side
    281,805.40x = 34,729,591,225.38
  5. Step 5: Solve for x
    x = 34,729,591,225.38/281,805.40
  6. Step 6: Final answer
    x = 123,239.62

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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.