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Finding the Fourth Proportional to 120,786.93, 166,659.12 and 73,039.28

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Solution

The fourth proportional to 120,786.93, 166,659.12 and 73,039.28 is: 100,777.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,786.93 : 166,659.12 = 73,039.28 : x
  2. Step 2: Convert to fraction form
    120,786.93/166,659.12 = 73,039.28/x
  3. Step 3: Cross multiply
    120,786.93x = 166,659.12 × 73,039.28
  4. Step 4: Simplify right side
    120,786.93x = 12,172,661,296.94
  5. Step 5: Solve for x
    x = 12,172,661,296.94/120,786.93
  6. Step 6: Final answer
    x = 100,777.97

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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.