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Finding the Fourth Proportional to 80,183.75, 120,271.25 and 30,262.64

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Solution

The fourth proportional to 80,183.75, 120,271.25 and 30,262.64 is: 45,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,183.75 : 120,271.25 = 30,262.64 : x
  2. Step 2: Convert to fraction form
    80,183.75/120,271.25 = 30,262.64/x
  3. Step 3: Cross multiply
    80,183.75x = 120,271.25 × 30,262.64
  4. Step 4: Simplify right side
    80,183.75x = 3,639,724,788.43
  5. Step 5: Solve for x
    x = 3,639,724,788.43/80,183.75
  6. Step 6: Final answer
    x = 45,392.30

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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.