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Finding the Fourth Proportional to 263,129.71, 394,536.54 and 120,796.91

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Solution

The fourth proportional to 263,129.71, 394,536.54 and 120,796.91 is: 181,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,129.71 : 394,536.54 = 120,796.91 : x
  2. Step 2: Convert to fraction form
    263,129.71/394,536.54 = 120,796.91/x
  3. Step 3: Cross multiply
    263,129.71x = 394,536.54 × 120,796.91
  4. Step 4: Simplify right side
    263,129.71x = 47,658,794,914.09
  5. Step 5: Solve for x
    x = 47,658,794,914.09/263,129.71
  6. Step 6: Final answer
    x = 181,122.82

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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.