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Finding the Fourth Proportional to 120,997.68, 166,969.94 and 67,281.55

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Solution

The fourth proportional to 120,997.68, 166,969.94 and 67,281.55 is: 92,844.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,997.68 : 166,969.94 = 67,281.55 : x
  2. Step 2: Convert to fraction form
    120,997.68/166,969.94 = 67,281.55/x
  3. Step 3: Cross multiply
    120,997.68x = 166,969.94 × 67,281.55
  4. Step 4: Simplify right side
    120,997.68x = 11,233,995,195.35
  5. Step 5: Solve for x
    x = 11,233,995,195.35/120,997.68
  6. Step 6: Final answer
    x = 92,844.71

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1.5x scale

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.