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Finding the Fourth Proportional to 204,906.81, 307,360.22 and 55,147.44

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Solution

The fourth proportional to 204,906.81, 307,360.22 and 55,147.44 is: 82,721.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,906.81 : 307,360.22 = 55,147.44 : x
  2. Step 2: Convert to fraction form
    204,906.81/307,360.22 = 55,147.44/x
  3. Step 3: Cross multiply
    204,906.81x = 307,360.22 × 55,147.44
  4. Step 4: Simplify right side
    204,906.81x = 16,950,129,015.10
  5. Step 5: Solve for x
    x = 16,950,129,015.10/204,906.81
  6. Step 6: Final answer
    x = 82,721.16

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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.