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Finding the Fourth Proportional to 85,376.88, 117,796.50 and 55,163.52

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Solution

The fourth proportional to 85,376.88, 117,796.50 and 55,163.52 is: 76,110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,376.88 : 117,796.50 = 55,163.52 : x
  2. Step 2: Convert to fraction form
    85,376.88/117,796.50 = 55,163.52/x
  3. Step 3: Cross multiply
    85,376.88x = 117,796.50 × 55,163.52
  4. Step 4: Simplify right side
    85,376.88x = 6,498,069,583.68
  5. Step 5: Solve for x
    x = 6,498,069,583.68/85,376.88
  6. Step 6: Final answer
    x = 76,110.41

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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.