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Finding the Fourth Proportional to 81,426.92, 121,933.02 and 53,640.68

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Solution

The fourth proportional to 81,426.92, 121,933.02 and 53,640.68 is: 80,324.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,426.92 : 121,933.02 = 53,640.68 : x
  2. Step 2: Convert to fraction form
    81,426.92/121,933.02 = 53,640.68/x
  3. Step 3: Cross multiply
    81,426.92x = 121,933.02 × 53,640.68
  4. Step 4: Simplify right side
    81,426.92x = 6,540,570,107.25
  5. Step 5: Solve for x
    x = 6,540,570,107.25/81,426.92
  6. Step 6: Final answer
    x = 80,324.42

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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.