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Finding the Fourth Proportional to 45,198.81, 67,790.50 and 11,919.20

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Solution

The fourth proportional to 45,198.81, 67,790.50 and 11,919.20 is: 17,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,198.81 : 67,790.50 = 11,919.20 : x
  2. Step 2: Convert to fraction form
    45,198.81/67,790.50 = 11,919.20/x
  3. Step 3: Cross multiply
    45,198.81x = 67,790.50 × 11,919.20
  4. Step 4: Simplify right side
    45,198.81x = 808,008,158.85
  5. Step 5: Solve for x
    x = 808,008,158.85/45,198.81
  6. Step 6: Final answer
    x = 17,876.76

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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.