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Finding the Fourth Proportional to 206,127.72, 309,181.86 and 120,786.12

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Solution

The fourth proportional to 206,127.72, 309,181.86 and 120,786.12 is: 181,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,127.72 : 309,181.86 = 120,786.12 : x
  2. Step 2: Convert to fraction form
    206,127.72/309,181.86 = 120,786.12/x
  3. Step 3: Cross multiply
    206,127.72x = 309,181.86 × 120,786.12
  4. Step 4: Simplify right side
    206,127.72x = 37,344,877,243.78
  5. Step 5: Solve for x
    x = 37,344,877,243.78/206,127.72
  6. Step 6: Final answer
    x = 181,173.48

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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.