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Finding the Fourth Proportional to 39,942, 55,119.96 and 22,278

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Solution

The fourth proportional to 39,942, 55,119.96 and 22,278 is: 30,743.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,942 : 55,119.96 = 22,278 : x
  2. Step 2: Convert to fraction form
    39,942/55,119.96 = 22,278/x
  3. Step 3: Cross multiply
    39,942x = 55,119.96 × 22,278
  4. Step 4: Simplify right side
    39,942x = 1,227,962,468.88
  5. Step 5: Solve for x
    x = 1,227,962,468.88/39,942
  6. Step 6: Final answer
    x = 30,743.64

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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.