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Finding the Fourth Proportional to 80,303.28, 120,474.06 and 27,713.22

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Solution

The fourth proportional to 80,303.28, 120,474.06 and 27,713.22 is: 41,576.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,303.28 : 120,474.06 = 27,713.22 : x
  2. Step 2: Convert to fraction form
    80,303.28/120,474.06 = 27,713.22/x
  3. Step 3: Cross multiply
    80,303.28x = 120,474.06 × 27,713.22
  4. Step 4: Simplify right side
    80,303.28x = 3,338,724,129.07
  5. Step 5: Solve for x
    x = 3,338,724,129.07/80,303.28
  6. Step 6: Final answer
    x = 41,576.44

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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.