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Finding the Fourth Proportional to 120,996.26, 166,978.72 and 67,283.54

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Solution

The fourth proportional to 120,996.26, 166,978.72 and 67,283.54 is: 92,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,996.26 : 166,978.72 = 67,283.54 : x
  2. Step 2: Convert to fraction form
    120,996.26/166,978.72 = 67,283.54/x
  3. Step 3: Cross multiply
    120,996.26x = 166,978.72 × 67,283.54
  4. Step 4: Simplify right side
    120,996.26x = 11,234,919,386.27
  5. Step 5: Solve for x
    x = 11,234,919,386.27/120,996.26
  6. Step 6: Final answer
    x = 92,853.44

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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.