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Finding the Fourth Proportional to 136,404.66, 188,247.89 and 82,691.94

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Solution

The fourth proportional to 136,404.66, 188,247.89 and 82,691.94 is: 114,120.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,404.66 : 188,247.89 = 82,691.94 : x
  2. Step 2: Convert to fraction form
    136,404.66/188,247.89 = 82,691.94/x
  3. Step 3: Cross multiply
    136,404.66x = 188,247.89 × 82,691.94
  4. Step 4: Simplify right side
    136,404.66x = 15,566,582,811.55
  5. Step 5: Solve for x
    x = 15,566,582,811.55/136,404.66
  6. Step 6: Final answer
    x = 114,120.61

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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.