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Finding the Fourth Proportional to 120,661.82, 166,522.46 and 66,957

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Solution

The fourth proportional to 120,661.82, 166,522.46 and 66,957 is: 92,405.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,661.82 : 166,522.46 = 66,957 : x
  2. Step 2: Convert to fraction form
    120,661.82/166,522.46 = 66,957/x
  3. Step 3: Cross multiply
    120,661.82x = 166,522.46 × 66,957
  4. Step 4: Simplify right side
    120,661.82x = 11,149,844,354.22
  5. Step 5: Solve for x
    x = 11,149,844,354.22/120,661.82
  6. Step 6: Final answer
    x = 92,405.74

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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.