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Finding the Fourth Proportional to 149,124, 205,791.12 and 82,056

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Solution

The fourth proportional to 149,124, 205,791.12 and 82,056 is: 113,237.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,124 : 205,791.12 = 82,056 : x
  2. Step 2: Convert to fraction form
    149,124/205,791.12 = 82,056/x
  3. Step 3: Cross multiply
    149,124x = 205,791.12 × 82,056
  4. Step 4: Simplify right side
    149,124x = 16,886,396,142.72
  5. Step 5: Solve for x
    x = 16,886,396,142.72/149,124
  6. Step 6: Final answer
    x = 113,237.28

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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.