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Finding the Fourth Proportional to 85,408.95, 117,855.41 and 49,591.97

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Solution

The fourth proportional to 85,408.95, 117,855.41 and 49,591.97 is: 68,431.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,408.95 : 117,855.41 = 49,591.97 : x
  2. Step 2: Convert to fraction form
    85,408.95/117,855.41 = 49,591.97/x
  3. Step 3: Cross multiply
    85,408.95x = 117,855.41 × 49,591.97
  4. Step 4: Simplify right side
    85,408.95x = 5,844,681,119.82
  5. Step 5: Solve for x
    x = 5,844,681,119.82/85,408.95
  6. Step 6: Final answer
    x = 68,431.72

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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.