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Finding the Fourth Proportional to 73,181.54, 100,991.01 and 39,647.54

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Solution

The fourth proportional to 73,181.54, 100,991.01 and 39,647.54 is: 54,713.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,181.54 : 100,991.01 = 39,647.54 : x
  2. Step 2: Convert to fraction form
    73,181.54/100,991.01 = 39,647.54/x
  3. Step 3: Cross multiply
    73,181.54x = 100,991.01 × 39,647.54
  4. Step 4: Simplify right side
    73,181.54x = 4,004,045,108.62
  5. Step 5: Solve for x
    x = 4,004,045,108.62/73,181.54
  6. Step 6: Final answer
    x = 54,713.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.