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Finding the Fourth Proportional to 206,027.62, 309,241.22 and 99,486.84

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Solution

The fourth proportional to 206,027.62, 309,241.22 and 99,486.84 is: 149,326.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,027.62 : 309,241.22 = 99,486.84 : x
  2. Step 2: Convert to fraction form
    206,027.62/309,241.22 = 99,486.84/x
  3. Step 3: Cross multiply
    206,027.62x = 309,241.22 × 99,486.84
  4. Step 4: Simplify right side
    206,027.62x = 30,765,432,437.77
  5. Step 5: Solve for x
    x = 30,765,432,437.77/206,027.62
  6. Step 6: Final answer
    x = 149,326.74

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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.