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Finding the Fourth Proportional to 206,079.12, 309,228.12 and 81,421.20

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Solution

The fourth proportional to 206,079.12, 309,228.12 and 81,421.20 is: 122,175.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,079.12 : 309,228.12 = 81,421.20 : x
  2. Step 2: Convert to fraction form
    206,079.12/309,228.12 = 81,421.20/x
  3. Step 3: Cross multiply
    206,079.12x = 309,228.12 × 81,421.20
  4. Step 4: Simplify right side
    206,079.12x = 25,177,724,604.14
  5. Step 5: Solve for x
    x = 25,177,724,604.14/206,079.12
  6. Step 6: Final answer
    x = 122,175.04

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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.