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Finding the Fourth Proportional to 90,199.14, 135,311.67 and 27,874.50

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Solution

The fourth proportional to 90,199.14, 135,311.67 and 27,874.50 is: 41,815.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,199.14 : 135,311.67 = 27,874.50 : x
  2. Step 2: Convert to fraction form
    90,199.14/135,311.67 = 27,874.50/x
  3. Step 3: Cross multiply
    90,199.14x = 135,311.67 × 27,874.50
  4. Step 4: Simplify right side
    90,199.14x = 3,771,745,145.42
  5. Step 5: Solve for x
    x = 3,771,745,145.42/90,199.14
  6. Step 6: Final answer
    x = 41,815.76

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