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Finding the Fourth Proportional to 120,979.73, 166,904.05 and 69,983

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Solution

The fourth proportional to 120,979.73, 166,904.05 and 69,983 is: 96,548.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,979.73 : 166,904.05 = 69,983 : x
  2. Step 2: Convert to fraction form
    120,979.73/166,904.05 = 69,983/x
  3. Step 3: Cross multiply
    120,979.73x = 166,904.05 × 69,983
  4. Step 4: Simplify right side
    120,979.73x = 11,680,446,131.15
  5. Step 5: Solve for x
    x = 11,680,446,131.15/120,979.73
  6. Step 6: Final answer
    x = 96,548.79

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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.