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Finding the Fourth Proportional to 206,143.44, 309,251.79 and 106,276.92

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Solution

The fourth proportional to 206,143.44, 309,251.79 and 106,276.92 is: 159,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,143.44 : 309,251.79 = 106,276.92 : x
  2. Step 2: Convert to fraction form
    206,143.44/309,251.79 = 106,276.92/x
  3. Step 3: Cross multiply
    206,143.44x = 309,251.79 × 106,276.92
  4. Step 4: Simplify right side
    206,143.44x = 32,866,327,745.69
  5. Step 5: Solve for x
    x = 32,866,327,745.69/206,143.44
  6. Step 6: Final answer
    x = 159,434.26

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1.5x scale

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.