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Finding the Fourth Proportional to 280,123.95, 420,121.85 and 80,442.75

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Solution

The fourth proportional to 280,123.95, 420,121.85 and 80,442.75 is: 120,645.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,123.95 : 420,121.85 = 80,442.75 : x
  2. Step 2: Convert to fraction form
    280,123.95/420,121.85 = 80,442.75/x
  3. Step 3: Cross multiply
    280,123.95x = 420,121.85 × 80,442.75
  4. Step 4: Simplify right side
    280,123.95x = 33,795,756,546.87
  5. Step 5: Solve for x
    x = 33,795,756,546.87/280,123.95
  6. Step 6: Final answer
    x = 120,645.72

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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.