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Finding the Fourth Proportional to 81,940.65, 122,869.81 and 47,757.43

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Solution

The fourth proportional to 81,940.65, 122,869.81 and 47,757.43 is: 71,612.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,940.65 : 122,869.81 = 47,757.43 : x
  2. Step 2: Convert to fraction form
    81,940.65/122,869.81 = 47,757.43/x
  3. Step 3: Cross multiply
    81,940.65x = 122,869.81 × 47,757.43
  4. Step 4: Simplify right side
    81,940.65x = 5,867,946,350.19
  5. Step 5: Solve for x
    x = 5,867,946,350.19/81,940.65
  6. Step 6: Final answer
    x = 71,612.15

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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.