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Finding the Fourth Proportional to 149,235.75, 205,945.54 and 82,167.75

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Solution

The fourth proportional to 149,235.75, 205,945.54 and 82,167.75 is: 113,391.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,235.75 : 205,945.54 = 82,167.75 : x
  2. Step 2: Convert to fraction form
    149,235.75/205,945.54 = 82,167.75/x
  3. Step 3: Cross multiply
    149,235.75x = 205,945.54 × 82,167.75
  4. Step 4: Simplify right side
    149,235.75x = 16,922,081,438.92
  5. Step 5: Solve for x
    x = 16,922,081,438.92/149,235.75
  6. Step 6: Final answer
    x = 113,391.61

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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.