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Finding the Fourth Proportional to 206,412.70, 309,546.15 and 73,297.30

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Solution

The fourth proportional to 206,412.70, 309,546.15 and 73,297.30 is: 109,920.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.70 : 309,546.15 = 73,297.30 : x
  2. Step 2: Convert to fraction form
    206,412.70/309,546.15 = 73,297.30/x
  3. Step 3: Cross multiply
    206,412.70x = 309,546.15 × 73,297.30
  4. Step 4: Simplify right side
    206,412.70x = 22,688,897,020.40
  5. Step 5: Solve for x
    x = 22,688,897,020.40/206,412.70
  6. Step 6: Final answer
    x = 109,920.06

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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.