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Finding the Fourth Proportional to 120,896.82, 166,824.90 and 69,901.38

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Solution

The fourth proportional to 120,896.82, 166,824.90 and 69,901.38 is: 96,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,896.82 : 166,824.90 = 69,901.38 : x
  2. Step 2: Convert to fraction form
    120,896.82/166,824.90 = 69,901.38/x
  3. Step 3: Cross multiply
    120,896.82x = 166,824.90 × 69,901.38
  4. Step 4: Simplify right side
    120,896.82x = 11,661,290,728.36
  5. Step 5: Solve for x
    x = 11,661,290,728.36/120,896.82
  6. Step 6: Final answer
    x = 96,456.55

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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.