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Finding the Fourth Proportional to 281,892.49, 422,797.70 and 82,159.25

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Solution

The fourth proportional to 281,892.49, 422,797.70 and 82,159.25 is: 123,226.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,892.49 : 422,797.70 = 82,159.25 : x
  2. Step 2: Convert to fraction form
    281,892.49/422,797.70 = 82,159.25/x
  3. Step 3: Cross multiply
    281,892.49x = 422,797.70 × 82,159.25
  4. Step 4: Simplify right side
    281,892.49x = 34,736,740,025.13
  5. Step 5: Solve for x
    x = 34,736,740,025.13/281,892.49
  6. Step 6: Final answer
    x = 123,226.91

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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.