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Finding the Fourth Proportional to 81,892.30, 122,839.02 and 28,584.06

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Solution

The fourth proportional to 81,892.30, 122,839.02 and 28,584.06 is: 42,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,892.30 : 122,839.02 = 28,584.06 : x
  2. Step 2: Convert to fraction form
    81,892.30/122,839.02 = 28,584.06/x
  3. Step 3: Cross multiply
    81,892.30x = 122,839.02 × 28,584.06
  4. Step 4: Simplify right side
    81,892.30x = 3,511,237,918.02
  5. Step 5: Solve for x
    x = 3,511,237,918.02/81,892.30
  6. Step 6: Final answer
    x = 42,876.29

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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.