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Finding the Fourth Proportional to 280,124.70, 420,122.97 and 80,443.50

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Solution

The fourth proportional to 280,124.70, 420,122.97 and 80,443.50 is: 120,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,124.70 : 420,122.97 = 80,443.50 : x
  2. Step 2: Convert to fraction form
    280,124.70/420,122.97 = 80,443.50/x
  3. Step 3: Cross multiply
    280,124.70x = 420,122.97 × 80,443.50
  4. Step 4: Simplify right side
    280,124.70x = 33,796,162,137.20
  5. Step 5: Solve for x
    x = 33,796,162,137.20/280,124.70
  6. Step 6: Final answer
    x = 120,646.85

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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.