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Finding the Fourth Proportional to 66,489.86, 99,736.21 and 27,019.78

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Solution

The fourth proportional to 66,489.86, 99,736.21 and 27,019.78 is: 40,530.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,489.86 : 99,736.21 = 27,019.78 : x
  2. Step 2: Convert to fraction form
    66,489.86/99,736.21 = 27,019.78/x
  3. Step 3: Cross multiply
    66,489.86x = 99,736.21 × 27,019.78
  4. Step 4: Simplify right side
    66,489.86x = 2,694,850,236.67
  5. Step 5: Solve for x
    x = 2,694,850,236.67/66,489.86
  6. Step 6: Final answer
    x = 40,530.24

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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.