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Finding the Fourth Proportional to 206,176.40, 309,293.40 and 87,846.80

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Solution

The fourth proportional to 206,176.40, 309,293.40 and 87,846.80 is: 131,782.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,176.40 : 309,293.40 = 87,846.80 : x
  2. Step 2: Convert to fraction form
    206,176.40/309,293.40 = 87,846.80/x
  3. Step 3: Cross multiply
    206,176.40x = 309,293.40 × 87,846.80
  4. Step 4: Simplify right side
    206,176.40x = 27,170,435,451.12
  5. Step 5: Solve for x
    x = 27,170,435,451.12/206,176.40
  6. Step 6: Final answer
    x = 131,782.47

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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.