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Finding the Fourth Proportional to 76,871.38, 114,542.85 and 68,486.96

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Solution

The fourth proportional to 76,871.38, 114,542.85 and 68,486.96 is: 102,049.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,871.38 : 114,542.85 = 68,486.96 : x
  2. Step 2: Convert to fraction form
    76,871.38/114,542.85 = 68,486.96/x
  3. Step 3: Cross multiply
    76,871.38x = 114,542.85 × 68,486.96
  4. Step 4: Simplify right side
    76,871.38x = 7,844,691,586.24
  5. Step 5: Solve for x
    x = 7,844,691,586.24/76,871.38
  6. Step 6: Final answer
    x = 102,049.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.