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Finding the Fourth Proportional to 81,920.54, 122,928.60 and 34,532.75

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Solution

The fourth proportional to 81,920.54, 122,928.60 and 34,532.75 is: 51,819.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,920.54 : 122,928.60 = 34,532.75 : x
  2. Step 2: Convert to fraction form
    81,920.54/122,928.60 = 34,532.75/x
  3. Step 3: Cross multiply
    81,920.54x = 122,928.60 × 34,532.75
  4. Step 4: Simplify right side
    81,920.54x = 4,245,062,611.65
  5. Step 5: Solve for x
    x = 4,245,062,611.65/81,920.54
  6. Step 6: Final answer
    x = 51,819.27

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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.