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Finding the Fourth Proportional to 39,936, 55,111.68 and 22,272

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Solution

The fourth proportional to 39,936, 55,111.68 and 22,272 is: 30,735.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,936 : 55,111.68 = 22,272 : x
  2. Step 2: Convert to fraction form
    39,936/55,111.68 = 22,272/x
  3. Step 3: Cross multiply
    39,936x = 55,111.68 × 22,272
  4. Step 4: Simplify right side
    39,936x = 1,227,447,336.96
  5. Step 5: Solve for x
    x = 1,227,447,336.96/39,936
  6. Step 6: Final answer
    x = 30,735.36

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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.