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Finding the Fourth Proportional to 206,193.70, 309,203.04 and 73,107.46

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Solution

The fourth proportional to 206,193.70, 309,203.04 and 73,107.46 is: 109,630.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,193.70 : 309,203.04 = 73,107.46 : x
  2. Step 2: Convert to fraction form
    206,193.70/309,203.04 = 73,107.46/x
  3. Step 3: Cross multiply
    206,193.70x = 309,203.04 × 73,107.46
  4. Step 4: Simplify right side
    206,193.70x = 22,605,048,878.68
  5. Step 5: Solve for x
    x = 22,605,048,878.68/206,193.70
  6. Step 6: Final answer
    x = 109,630.16

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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.