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Finding the Fourth Proportional to 76,391.73, 105,418.44 and 41,936.45

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Solution

The fourth proportional to 76,391.73, 105,418.44 and 41,936.45 is: 57,871.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,391.73 : 105,418.44 = 41,936.45 : x
  2. Step 2: Convert to fraction form
    76,391.73/105,418.44 = 41,936.45/x
  3. Step 3: Cross multiply
    76,391.73x = 105,418.44 × 41,936.45
  4. Step 4: Simplify right side
    76,391.73x = 4,420,875,401.68
  5. Step 5: Solve for x
    x = 4,420,875,401.68/76,391.73
  6. Step 6: Final answer
    x = 57,871.13

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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.