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Finding the Fourth Proportional to 120,659.94, 166,513.44 and 66,942.96

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Solution

The fourth proportional to 120,659.94, 166,513.44 and 66,942.96 is: 92,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,659.94 : 166,513.44 = 66,942.96 : x
  2. Step 2: Convert to fraction form
    120,659.94/166,513.44 = 66,942.96/x
  3. Step 3: Cross multiply
    120,659.94x = 166,513.44 × 66,942.96
  4. Step 4: Simplify right side
    120,659.94x = 11,146,902,553.38
  5. Step 5: Solve for x
    x = 11,146,902,553.38/120,659.94
  6. Step 6: Final answer
    x = 92,382.80

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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.