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Finding the Fourth Proportional to 129,635, 194,446 and 50,763.68

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Solution

The fourth proportional to 129,635, 194,446 and 50,763.68 is: 76,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,635 : 194,446 = 50,763.68 : x
  2. Step 2: Convert to fraction form
    129,635/194,446 = 50,763.68/x
  3. Step 3: Cross multiply
    129,635x = 194,446 × 50,763.68
  4. Step 4: Simplify right side
    129,635x = 9,870,794,521.28
  5. Step 5: Solve for x
    x = 9,870,794,521.28/129,635
  6. Step 6: Final answer
    x = 76,142.97

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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.