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Finding the Fourth Proportional to 136,796.54, 188,797.11 and 80,213.18

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Solution

The fourth proportional to 136,796.54, 188,797.11 and 80,213.18 is: 110,704.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,796.54 : 188,797.11 = 80,213.18 : x
  2. Step 2: Convert to fraction form
    136,796.54/188,797.11 = 80,213.18/x
  3. Step 3: Cross multiply
    136,796.54x = 188,797.11 × 80,213.18
  4. Step 4: Simplify right side
    136,796.54x = 15,144,016,567.91
  5. Step 5: Solve for x
    x = 15,144,016,567.91/136,796.54
  6. Step 6: Final answer
    x = 110,704.68

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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.