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Finding the Fourth Proportional to 81,999, 123,001.68 and 28,680.60

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Solution

The fourth proportional to 81,999, 123,001.68 and 28,680.60 is: 43,022.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,999 : 123,001.68 = 28,680.60 : x
  2. Step 2: Convert to fraction form
    81,999/123,001.68 = 28,680.60/x
  3. Step 3: Cross multiply
    81,999x = 123,001.68 × 28,680.60
  4. Step 4: Simplify right side
    81,999x = 3,527,761,983.41
  5. Step 5: Solve for x
    x = 3,527,761,983.41/81,999
  6. Step 6: Final answer
    x = 43,022.01

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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.