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Finding the Fourth Proportional to 281,758.40, 422,706.80 and 82,080.53

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Solution

The fourth proportional to 281,758.40, 422,706.80 and 82,080.53 is: 123,140.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,758.40 : 422,706.80 = 82,080.53 : x
  2. Step 2: Convert to fraction form
    281,758.40/422,706.80 = 82,080.53/x
  3. Step 3: Cross multiply
    281,758.40x = 422,706.80 × 82,080.53
  4. Step 4: Simplify right side
    281,758.40x = 34,695,998,824.97
  5. Step 5: Solve for x
    x = 34,695,998,824.97/281,758.40
  6. Step 6: Final answer
    x = 123,140.96

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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.