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Finding the Fourth Proportional to 280,112.70, 420,104.97 and 80,431.50

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Solution

The fourth proportional to 280,112.70, 420,104.97 and 80,431.50 is: 120,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,112.70 : 420,104.97 = 80,431.50 : x
  2. Step 2: Convert to fraction form
    280,112.70/420,104.97 = 80,431.50/x
  3. Step 3: Cross multiply
    280,112.70x = 420,104.97 × 80,431.50
  4. Step 4: Simplify right side
    280,112.70x = 33,789,672,894.56
  5. Step 5: Solve for x
    x = 33,789,672,894.56/280,112.70
  6. Step 6: Final answer
    x = 120,628.85

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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.