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Finding the Fourth Proportional to 81,469.20, 122,114.70 and 28,851.60

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Solution

The fourth proportional to 81,469.20, 122,114.70 and 28,851.60 is: 43,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469.20 : 122,114.70 = 28,851.60 : x
  2. Step 2: Convert to fraction form
    81,469.20/122,114.70 = 28,851.60/x
  3. Step 3: Cross multiply
    81,469.20x = 122,114.70 × 28,851.60
  4. Step 4: Simplify right side
    81,469.20x = 3,523,204,478.52
  5. Step 5: Solve for x
    x = 3,523,204,478.52/81,469.20
  6. Step 6: Final answer
    x = 43,245.85

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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.