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Finding the Fourth Proportional to 126,881.70, 190,185.21 and 82,540.14

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Solution

The fourth proportional to 126,881.70, 190,185.21 and 82,540.14 is: 123,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,881.70 : 190,185.21 = 82,540.14 : x
  2. Step 2: Convert to fraction form
    126,881.70/190,185.21 = 82,540.14/x
  3. Step 3: Cross multiply
    126,881.70x = 190,185.21 × 82,540.14
  4. Step 4: Simplify right side
    126,881.70x = 15,697,913,859.33
  5. Step 5: Solve for x
    x = 15,697,913,859.33/126,881.70
  6. Step 6: Final answer
    x = 123,720.87

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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.