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Finding the Fourth Proportional to 120,844.70, 181,180.65 and 54,230.30

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Solution

The fourth proportional to 120,844.70, 181,180.65 and 54,230.30 is: 81,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,844.70 : 181,180.65 = 54,230.30 : x
  2. Step 2: Convert to fraction form
    120,844.70/181,180.65 = 54,230.30/x
  3. Step 3: Cross multiply
    120,844.70x = 181,180.65 × 54,230.30
  4. Step 4: Simplify right side
    120,844.70x = 9,825,481,003.70
  5. Step 5: Solve for x
    x = 9,825,481,003.70/120,844.70
  6. Step 6: Final answer
    x = 81,306.68

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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.