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Finding the Fourth Proportional to 120,693.78, 166,563.09 and 66,979.22

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Solution

The fourth proportional to 120,693.78, 166,563.09 and 66,979.22 is: 92,434.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,693.78 : 166,563.09 = 66,979.22 : x
  2. Step 2: Convert to fraction form
    120,693.78/166,563.09 = 66,979.22/x
  3. Step 3: Cross multiply
    120,693.78x = 166,563.09 × 66,979.22
  4. Step 4: Simplify right side
    120,693.78x = 11,156,265,016.17
  5. Step 5: Solve for x
    x = 11,156,265,016.17/120,693.78
  6. Step 6: Final answer
    x = 92,434.47

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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.