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Finding the Fourth Proportional to 30,105.96, 44,975.82 and 19,489.49

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Solution

The fourth proportional to 30,105.96, 44,975.82 and 19,489.49 is: 29,115.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,105.96 : 44,975.82 = 19,489.49 : x
  2. Step 2: Convert to fraction form
    30,105.96/44,975.82 = 19,489.49/x
  3. Step 3: Cross multiply
    30,105.96x = 44,975.82 × 19,489.49
  4. Step 4: Simplify right side
    30,105.96x = 876,555,811.00
  5. Step 5: Solve for x
    x = 876,555,811.00/30,105.96
  6. Step 6: Final answer
    x = 29,115.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.