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Finding the Fourth Proportional to 81,975.80, 122,942.10 and 25,815.80

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Solution

The fourth proportional to 81,975.80, 122,942.10 and 25,815.80 is: 38,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,975.80 : 122,942.10 = 25,815.80 : x
  2. Step 2: Convert to fraction form
    81,975.80/122,942.10 = 25,815.80/x
  3. Step 3: Cross multiply
    81,975.80x = 122,942.10 × 25,815.80
  4. Step 4: Simplify right side
    81,975.80x = 3,173,848,665.18
  5. Step 5: Solve for x
    x = 3,173,848,665.18/81,975.80
  6. Step 6: Final answer
    x = 38,716.90

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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.