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Finding the Fourth Proportional to 281,711.62, 422,636.73 and 82,033.84

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Solution

The fourth proportional to 281,711.62, 422,636.73 and 82,033.84 is: 123,070.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,711.62 : 422,636.73 = 82,033.84 : x
  2. Step 2: Convert to fraction form
    281,711.62/422,636.73 = 82,033.84/x
  3. Step 3: Cross multiply
    281,711.62x = 422,636.73 × 82,033.84
  4. Step 4: Simplify right side
    281,711.62x = 34,670,513,886.94
  5. Step 5: Solve for x
    x = 34,670,513,886.94/281,711.62
  6. Step 6: Final answer
    x = 123,070.94

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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.