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Finding the Fourth Proportional to 80,923.49, 111,634.31 and 54,074.42

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Solution

The fourth proportional to 80,923.49, 111,634.31 and 54,074.42 is: 74,595.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,923.49 : 111,634.31 = 54,074.42 : x
  2. Step 2: Convert to fraction form
    80,923.49/111,634.31 = 54,074.42/x
  3. Step 3: Cross multiply
    80,923.49x = 111,634.31 × 54,074.42
  4. Step 4: Simplify right side
    80,923.49x = 6,036,560,294.98
  5. Step 5: Solve for x
    x = 6,036,560,294.98/80,923.49
  6. Step 6: Final answer
    x = 74,595.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.