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Finding the Fourth Proportional to 208,163.70, 311,742.18 and 119,147.40

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Solution

The fourth proportional to 208,163.70, 311,742.18 and 119,147.40 is: 178,432.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,163.70 : 311,742.18 = 119,147.40 : x
  2. Step 2: Convert to fraction form
    208,163.70/311,742.18 = 119,147.40/x
  3. Step 3: Cross multiply
    208,163.70x = 311,742.18 × 119,147.40
  4. Step 4: Simplify right side
    208,163.70x = 37,143,270,217.33
  5. Step 5: Solve for x
    x = 37,143,270,217.33/208,163.70
  6. Step 6: Final answer
    x = 178,432.98

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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.