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Finding the Fourth Proportional to 259,923, 358,694.82 and 140,691

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Solution

The fourth proportional to 259,923, 358,694.82 and 140,691 is: 194,154.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,923 : 358,694.82 = 140,691 : x
  2. Step 2: Convert to fraction form
    259,923/358,694.82 = 140,691/x
  3. Step 3: Cross multiply
    259,923x = 358,694.82 × 140,691
  4. Step 4: Simplify right side
    259,923x = 50,465,132,920.62
  5. Step 5: Solve for x
    x = 50,465,132,920.62/259,923
  6. Step 6: Final answer
    x = 194,154.16

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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.