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Finding the Fourth Proportional to 149,141.44, 205,815.22 and 82,073.44

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Solution

The fourth proportional to 149,141.44, 205,815.22 and 82,073.44 is: 113,261.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,141.44 : 205,815.22 = 82,073.44 : x
  2. Step 2: Convert to fraction form
    149,141.44/205,815.22 = 82,073.44/x
  3. Step 3: Cross multiply
    149,141.44x = 205,815.22 × 82,073.44
  4. Step 4: Simplify right side
    149,141.44x = 16,891,962,390.04
  5. Step 5: Solve for x
    x = 16,891,962,390.04/149,141.44
  6. Step 6: Final answer
    x = 113,261.36

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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.