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Finding the Fourth Proportional to 68,800, 94,945.44 and 38,992

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Solution

The fourth proportional to 68,800, 94,945.44 and 38,992 is: 53,809.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,800 : 94,945.44 = 38,992 : x
  2. Step 2: Convert to fraction form
    68,800/94,945.44 = 38,992/x
  3. Step 3: Cross multiply
    68,800x = 94,945.44 × 38,992
  4. Step 4: Simplify right side
    68,800x = 3,702,112,596.48
  5. Step 5: Solve for x
    x = 3,702,112,596.48/68,800
  6. Step 6: Final answer
    x = 53,809.78

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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.