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Finding the Fourth Proportional to 120,745.89, 166,571.44 and 84,955.64

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Solution

The fourth proportional to 120,745.89, 166,571.44 and 84,955.64 is: 117,198.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,745.89 : 166,571.44 = 84,955.64 : x
  2. Step 2: Convert to fraction form
    120,745.89/166,571.44 = 84,955.64/x
  3. Step 3: Cross multiply
    120,745.89x = 166,571.44 × 84,955.64
  4. Step 4: Simplify right side
    120,745.89x = 14,151,182,245.68
  5. Step 5: Solve for x
    x = 14,151,182,245.68/120,745.89
  6. Step 6: Final answer
    x = 117,198.04

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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.