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Finding the Fourth Proportional to 206,019.60, 309,029.40 and 87,694.80

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Solution

The fourth proportional to 206,019.60, 309,029.40 and 87,694.80 is: 131,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,019.60 : 309,029.40 = 87,694.80 : x
  2. Step 2: Convert to fraction form
    206,019.60/309,029.40 = 87,694.80/x
  3. Step 3: Cross multiply
    206,019.60x = 309,029.40 × 87,694.80
  4. Step 4: Simplify right side
    206,019.60x = 27,100,271,427.12
  5. Step 5: Solve for x
    x = 27,100,271,427.12/206,019.60
  6. Step 6: Final answer
    x = 131,542.20

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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.