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Finding the Fourth Proportional to 206,448.84, 309,960 and 106,682.76

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Solution

The fourth proportional to 206,448.84, 309,960 and 106,682.76 is: 160,172.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,448.84 : 309,960 = 106,682.76 : x
  2. Step 2: Convert to fraction form
    206,448.84/309,960 = 106,682.76/x
  3. Step 3: Cross multiply
    206,448.84x = 309,960 × 106,682.76
  4. Step 4: Simplify right side
    206,448.84x = 33,067,388,289.60
  5. Step 5: Solve for x
    x = 33,067,388,289.60/206,448.84
  6. Step 6: Final answer
    x = 160,172.31

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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.