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Finding the Fourth Proportional to 120,706.16, 166,566.72 and 66,991.20

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Solution

The fourth proportional to 120,706.16, 166,566.72 and 66,991.20 is: 92,443.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,706.16 : 166,566.72 = 66,991.20 : x
  2. Step 2: Convert to fraction form
    120,706.16/166,566.72 = 66,991.20/x
  3. Step 3: Cross multiply
    120,706.16x = 166,566.72 × 66,991.20
  4. Step 4: Simplify right side
    120,706.16x = 11,158,504,452.86
  5. Step 5: Solve for x
    x = 11,158,504,452.86/120,706.16
  6. Step 6: Final answer
    x = 92,443.54

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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.