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Finding the Fourth Proportional to 188,769.82, 283,154.44 and 129,425.58

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Solution

The fourth proportional to 188,769.82, 283,154.44 and 129,425.58 is: 194,138.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,769.82 : 283,154.44 = 129,425.58 : x
  2. Step 2: Convert to fraction form
    188,769.82/283,154.44 = 129,425.58/x
  3. Step 3: Cross multiply
    188,769.82x = 283,154.44 × 129,425.58
  4. Step 4: Simplify right side
    188,769.82x = 36,647,427,626.58
  5. Step 5: Solve for x
    x = 36,647,427,626.58/188,769.82
  6. Step 6: Final answer
    x = 194,138.17

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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.