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Finding the Fourth Proportional to 149,212, 205,912.56 and 82,144

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Solution

The fourth proportional to 149,212, 205,912.56 and 82,144 is: 113,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,212 : 205,912.56 = 82,144 : x
  2. Step 2: Convert to fraction form
    149,212/205,912.56 = 82,144/x
  3. Step 3: Cross multiply
    149,212x = 205,912.56 × 82,144
  4. Step 4: Simplify right side
    149,212x = 16,914,481,328.64
  5. Step 5: Solve for x
    x = 16,914,481,328.64/149,212
  6. Step 6: Final answer
    x = 113,358.72

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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.