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Finding the Fourth Proportional to 208,163.28, 312,245.72 and 50,391.48

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Solution

The fourth proportional to 208,163.28, 312,245.72 and 50,391.48 is: 75,587.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,163.28 : 312,245.72 = 50,391.48 : x
  2. Step 2: Convert to fraction form
    208,163.28/312,245.72 = 50,391.48/x
  3. Step 3: Cross multiply
    208,163.28x = 312,245.72 × 50,391.48
  4. Step 4: Simplify right side
    208,163.28x = 15,734,523,954.47
  5. Step 5: Solve for x
    x = 15,734,523,954.47/208,163.28
  6. Step 6: Final answer
    x = 75,587.41

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1.5x scale

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.