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Finding the Fourth Proportional to 139,228.82, 191,990.49 and 82,629.26

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Solution

The fourth proportional to 139,228.82, 191,990.49 and 82,629.26 is: 113,942.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,228.82 : 191,990.49 = 82,629.26 : x
  2. Step 2: Convert to fraction form
    139,228.82/191,990.49 = 82,629.26/x
  3. Step 3: Cross multiply
    139,228.82x = 191,990.49 × 82,629.26
  4. Step 4: Simplify right side
    139,228.82x = 15,864,032,115.74
  5. Step 5: Solve for x
    x = 15,864,032,115.74/139,228.82
  6. Step 6: Final answer
    x = 113,942.16

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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.