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Finding the Fourth Proportional to 167,920, 251,978.41 and 120,483.97

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Solution

The fourth proportional to 167,920, 251,978.41 and 120,483.97 is: 180,796.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,920 : 251,978.41 = 120,483.97 : x
  2. Step 2: Convert to fraction form
    167,920/251,978.41 = 120,483.97/x
  3. Step 3: Cross multiply
    167,920x = 251,978.41 × 120,483.97
  4. Step 4: Simplify right side
    167,920x = 30,359,359,191.09
  5. Step 5: Solve for x
    x = 30,359,359,191.09/167,920
  6. Step 6: Final answer
    x = 180,796.56

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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.