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Finding the Fourth Proportional to 100,578.30, 150,964.65 and 50,714.70

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Solution

The fourth proportional to 100,578.30, 150,964.65 and 50,714.70 is: 76,121.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.30 : 150,964.65 = 50,714.70 : x
  2. Step 2: Convert to fraction form
    100,578.30/150,964.65 = 50,714.70/x
  3. Step 3: Cross multiply
    100,578.30x = 150,964.65 × 50,714.70
  4. Step 4: Simplify right side
    100,578.30x = 7,656,126,935.36
  5. Step 5: Solve for x
    x = 7,656,126,935.36/100,578.30
  6. Step 6: Final answer
    x = 76,121.06

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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.