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Finding the Fourth Proportional to 208,466.20, 312,480.60 and 82,057.60

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Solution

The fourth proportional to 208,466.20, 312,480.60 and 82,057.60 is: 123,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,466.20 : 312,480.60 = 82,057.60 : x
  2. Step 2: Convert to fraction form
    208,466.20/312,480.60 = 82,057.60/x
  3. Step 3: Cross multiply
    208,466.20x = 312,480.60 × 82,057.60
  4. Step 4: Simplify right side
    208,466.20x = 25,641,408,082.56
  5. Step 5: Solve for x
    x = 25,641,408,082.56/208,466.20
  6. Step 6: Final answer
    x = 123,000.31

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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.