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Finding the Fourth Proportional to 188,908.20, 283,690.35 and 100,334.70

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Solution

The fourth proportional to 188,908.20, 283,690.35 and 100,334.70 is: 150,676.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,908.20 : 283,690.35 = 100,334.70 : x
  2. Step 2: Convert to fraction form
    188,908.20/283,690.35 = 100,334.70/x
  3. Step 3: Cross multiply
    188,908.20x = 283,690.35 × 100,334.70
  4. Step 4: Simplify right side
    188,908.20x = 28,463,986,160.15
  5. Step 5: Solve for x
    x = 28,463,986,160.15/188,908.20
  6. Step 6: Final answer
    x = 150,676.29

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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.