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Finding the Fourth Proportional to 39,992, 55,188.96 and 22,328

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Solution

The fourth proportional to 39,992, 55,188.96 and 22,328 is: 30,812.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,992 : 55,188.96 = 22,328 : x
  2. Step 2: Convert to fraction form
    39,992/55,188.96 = 22,328/x
  3. Step 3: Cross multiply
    39,992x = 55,188.96 × 22,328
  4. Step 4: Simplify right side
    39,992x = 1,232,259,098.88
  5. Step 5: Solve for x
    x = 1,232,259,098.88/39,992
  6. Step 6: Final answer
    x = 30,812.64

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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.