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Finding the Fourth Proportional to 139,474.80, 192,524.60 and 82,885.50

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Solution

The fourth proportional to 139,474.80, 192,524.60 and 82,885.50 is: 114,411.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,474.80 : 192,524.60 = 82,885.50 : x
  2. Step 2: Convert to fraction form
    139,474.80/192,524.60 = 82,885.50/x
  3. Step 3: Cross multiply
    139,474.80x = 192,524.60 × 82,885.50
  4. Step 4: Simplify right side
    139,474.80x = 15,957,497,318.87
  5. Step 5: Solve for x
    x = 15,957,497,318.87/139,474.80
  6. Step 6: Final answer
    x = 114,411.33

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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.