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Finding the Fourth Proportional to 120,616.70, 180,797.27 and 40,578.44

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Solution

The fourth proportional to 120,616.70, 180,797.27 and 40,578.44 is: 60,824.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,616.70 : 180,797.27 = 40,578.44 : x
  2. Step 2: Convert to fraction form
    120,616.70/180,797.27 = 40,578.44/x
  3. Step 3: Cross multiply
    120,616.70x = 180,797.27 × 40,578.44
  4. Step 4: Simplify right side
    120,616.70x = 7,336,470,065.98
  5. Step 5: Solve for x
    x = 7,336,470,065.98/120,616.70
  6. Step 6: Final answer
    x = 60,824.66

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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.