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Finding the Fourth Proportional to 76,806, 105,992.28 and 41,478

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Solution

The fourth proportional to 76,806, 105,992.28 and 41,478 is: 57,239.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,806 : 105,992.28 = 41,478 : x
  2. Step 2: Convert to fraction form
    76,806/105,992.28 = 41,478/x
  3. Step 3: Cross multiply
    76,806x = 105,992.28 × 41,478
  4. Step 4: Simplify right side
    76,806x = 4,396,347,789.84
  5. Step 5: Solve for x
    x = 4,396,347,789.84/76,806
  6. Step 6: Final answer
    x = 57,239.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.