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Finding the Fourth Proportional to 139,679.38, 192,723.92 and 82,320.98

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Solution

The fourth proportional to 139,679.38, 192,723.92 and 82,320.98 is: 113,583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,679.38 : 192,723.92 = 82,320.98 : x
  2. Step 2: Convert to fraction form
    139,679.38/192,723.92 = 82,320.98/x
  3. Step 3: Cross multiply
    139,679.38x = 192,723.92 × 82,320.98
  4. Step 4: Simplify right side
    139,679.38x = 15,865,222,169.64
  5. Step 5: Solve for x
    x = 15,865,222,169.64/139,679.38
  6. Step 6: Final answer
    x = 113,583.14

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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.