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Finding the Fourth Proportional to 83,241.37, 114,965.81 and 76,942.81

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Solution

The fourth proportional to 83,241.37, 114,965.81 and 76,942.81 is: 106,266.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,241.37 : 114,965.81 = 76,942.81 : x
  2. Step 2: Convert to fraction form
    83,241.37/114,965.81 = 76,942.81/x
  3. Step 3: Cross multiply
    83,241.37x = 114,965.81 × 76,942.81
  4. Step 4: Simplify right side
    83,241.37x = 8,845,792,092.85
  5. Step 5: Solve for x
    x = 8,845,792,092.85/83,241.37
  6. Step 6: Final answer
    x = 106,266.78

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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.