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Finding the Fourth Proportional to 85,107.77, 117,469.41 and 49,292

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Solution

The fourth proportional to 85,107.77, 117,469.41 and 49,292 is: 68,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,107.77 : 117,469.41 = 49,292 : x
  2. Step 2: Convert to fraction form
    85,107.77/117,469.41 = 49,292/x
  3. Step 3: Cross multiply
    85,107.77x = 117,469.41 × 49,292
  4. Step 4: Simplify right side
    85,107.77x = 5,790,302,157.72
  5. Step 5: Solve for x
    x = 5,790,302,157.72/85,107.77
  6. Step 6: Final answer
    x = 68,034.94

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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.