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Finding the Fourth Proportional to 149,031, 205,659.92 and 81,963

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Solution

The fourth proportional to 149,031, 205,659.92 and 81,963 is: 113,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,031 : 205,659.92 = 81,963 : x
  2. Step 2: Convert to fraction form
    149,031/205,659.92 = 81,963/x
  3. Step 3: Cross multiply
    149,031x = 205,659.92 × 81,963
  4. Step 4: Simplify right side
    149,031x = 16,856,504,022.96
  5. Step 5: Solve for x
    x = 16,856,504,022.96/149,031
  6. Step 6: Final answer
    x = 113,107.37

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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.