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Finding the Fourth Proportional to 206,538.30, 309,924.09 and 88,197.30

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Solution

The fourth proportional to 206,538.30, 309,924.09 and 88,197.30 is: 132,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,538.30 : 309,924.09 = 88,197.30 : x
  2. Step 2: Convert to fraction form
    206,538.30/309,924.09 = 88,197.30/x
  3. Step 3: Cross multiply
    206,538.30x = 309,924.09 × 88,197.30
  4. Step 4: Simplify right side
    206,538.30x = 27,334,467,942.96
  5. Step 5: Solve for x
    x = 27,334,467,942.96/206,538.30
  6. Step 6: Final answer
    x = 132,345.76

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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.