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Finding the Fourth Proportional to 170,745.14, 255,910.34 and 120,839.82

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Solution

The fourth proportional to 170,745.14, 255,910.34 and 120,839.82 is: 181,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,745.14 : 255,910.34 = 120,839.82 : x
  2. Step 2: Convert to fraction form
    170,745.14/255,910.34 = 120,839.82/x
  3. Step 3: Cross multiply
    170,745.14x = 255,910.34 × 120,839.82
  4. Step 4: Simplify right side
    170,745.14x = 30,924,159,421.74
  5. Step 5: Solve for x
    x = 30,924,159,421.74/170,745.14
  6. Step 6: Final answer
    x = 181,112.97

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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.