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Finding the Fourth Proportional to 206,575.66, 309,994.56 and 88,247.86

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Solution

The fourth proportional to 206,575.66, 309,994.56 and 88,247.86 is: 132,427.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,575.66 : 309,994.56 = 88,247.86 : x
  2. Step 2: Convert to fraction form
    206,575.66/309,994.56 = 88,247.86/x
  3. Step 3: Cross multiply
    206,575.66x = 309,994.56 × 88,247.86
  4. Step 4: Simplify right side
    206,575.66x = 27,356,356,531.64
  5. Step 5: Solve for x
    x = 27,356,356,531.64/206,575.66
  6. Step 6: Final answer
    x = 132,427.78

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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.