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Finding the Fourth Proportional to 120,192, 180,249.66 and 41,287.20

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Solution

The fourth proportional to 120,192, 180,249.66 and 41,287.20 is: 61,917.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,192 : 180,249.66 = 41,287.20 : x
  2. Step 2: Convert to fraction form
    120,192/180,249.66 = 41,287.20/x
  3. Step 3: Cross multiply
    120,192x = 180,249.66 × 41,287.20
  4. Step 4: Simplify right side
    120,192x = 7,442,003,762.35
  5. Step 5: Solve for x
    x = 7,442,003,762.35/120,192
  6. Step 6: Final answer
    x = 61,917.63

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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.