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Finding the Fourth Proportional to 120,616.62, 166,451.94 and 66,905.12

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Solution

The fourth proportional to 120,616.62, 166,451.94 and 66,905.12 is: 92,329.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,616.62 : 166,451.94 = 66,905.12 : x
  2. Step 2: Convert to fraction form
    120,616.62/166,451.94 = 66,905.12/x
  3. Step 3: Cross multiply
    120,616.62x = 166,451.94 × 66,905.12
  4. Step 4: Simplify right side
    120,616.62x = 11,136,486,187.67
  5. Step 5: Solve for x
    x = 11,136,486,187.67/120,616.62
  6. Step 6: Final answer
    x = 92,329.62

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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.