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Finding the Fourth Proportional to 192,116.08, 288,174 and 106,781.20

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Solution

The fourth proportional to 192,116.08, 288,174 and 106,781.20 is: 160,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,116.08 : 288,174 = 106,781.20 : x
  2. Step 2: Convert to fraction form
    192,116.08/288,174 = 106,781.20/x
  3. Step 3: Cross multiply
    192,116.08x = 288,174 × 106,781.20
  4. Step 4: Simplify right side
    192,116.08x = 30,771,565,528.80
  5. Step 5: Solve for x
    x = 30,771,565,528.80/192,116.08
  6. Step 6: Final answer
    x = 160,171.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.