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Finding the Fourth Proportional to 80,361.82, 120,536.43 and 30,437.38

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Solution

The fourth proportional to 80,361.82, 120,536.43 and 30,437.38 is: 45,653.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,361.82 : 120,536.43 = 30,437.38 : x
  2. Step 2: Convert to fraction form
    80,361.82/120,536.43 = 30,437.38/x
  3. Step 3: Cross multiply
    80,361.82x = 120,536.43 × 30,437.38
  4. Step 4: Simplify right side
    80,361.82x = 3,668,813,123.75
  5. Step 5: Solve for x
    x = 3,668,813,123.75/80,361.82
  6. Step 6: Final answer
    x = 45,653.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.