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Finding the Fourth Proportional to 208,771.20, 313,185.60 and 75,619.20

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Solution

The fourth proportional to 208,771.20, 313,185.60 and 75,619.20 is: 113,439.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,771.20 : 313,185.60 = 75,619.20 : x
  2. Step 2: Convert to fraction form
    208,771.20/313,185.60 = 75,619.20/x
  3. Step 3: Cross multiply
    208,771.20x = 313,185.60 × 75,619.20
  4. Step 4: Simplify right side
    208,771.20x = 23,682,844,523.52
  5. Step 5: Solve for x
    x = 23,682,844,523.52/208,771.20
  6. Step 6: Final answer
    x = 113,439.23

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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.