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Finding the Fourth Proportional to 68,452.80, 94,414.32 and 43,278

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Solution

The fourth proportional to 68,452.80, 94,414.32 and 43,278 is: 59,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,452.80 : 94,414.32 = 43,278 : x
  2. Step 2: Convert to fraction form
    68,452.80/94,414.32 = 43,278/x
  3. Step 3: Cross multiply
    68,452.80x = 94,414.32 × 43,278
  4. Step 4: Simplify right side
    68,452.80x = 4,086,062,940.96
  5. Step 5: Solve for x
    x = 4,086,062,940.96/68,452.80
  6. Step 6: Final answer
    x = 59,691.68

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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.