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Finding the Fourth Proportional to 139,540.70, 209,311.05 and 80,491.70

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Solution

The fourth proportional to 139,540.70, 209,311.05 and 80,491.70 is: 120,737.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,540.70 : 209,311.05 = 80,491.70 : x
  2. Step 2: Convert to fraction form
    139,540.70/209,311.05 = 80,491.70/x
  3. Step 3: Cross multiply
    139,540.70x = 209,311.05 × 80,491.70
  4. Step 4: Simplify right side
    139,540.70x = 16,847,802,243.29
  5. Step 5: Solve for x
    x = 16,847,802,243.29/139,540.70
  6. Step 6: Final answer
    x = 120,737.55

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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.