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Finding the Fourth Proportional to 54,997, 82,495.50 and 19,936.69

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Solution

The fourth proportional to 54,997, 82,495.50 and 19,936.69 is: 29,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,997 : 82,495.50 = 19,936.69 : x
  2. Step 2: Convert to fraction form
    54,997/82,495.50 = 19,936.69/x
  3. Step 3: Cross multiply
    54,997x = 82,495.50 × 19,936.69
  4. Step 4: Simplify right side
    54,997x = 1,644,687,209.90
  5. Step 5: Solve for x
    x = 1,644,687,209.90/54,997
  6. Step 6: Final answer
    x = 29,905.04

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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.