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Finding the Fourth Proportional to 139,805.46, 192,950.57 and 82,460.97

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Solution

The fourth proportional to 139,805.46, 192,950.57 and 82,460.97 is: 113,807.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,805.46 : 192,950.57 = 82,460.97 : x
  2. Step 2: Convert to fraction form
    139,805.46/192,950.57 = 82,460.97/x
  3. Step 3: Cross multiply
    139,805.46x = 192,950.57 × 82,460.97
  4. Step 4: Simplify right side
    139,805.46x = 15,910,891,370.41
  5. Step 5: Solve for x
    x = 15,910,891,370.41/139,805.46
  6. Step 6: Final answer
    x = 113,807.37

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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.