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Finding the Fourth Proportional to 120,885.20, 181,241.40 and 54,270.80

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Solution

The fourth proportional to 120,885.20, 181,241.40 and 54,270.80 is: 81,367.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,885.20 : 181,241.40 = 54,270.80 : x
  2. Step 2: Convert to fraction form
    120,885.20/181,241.40 = 54,270.80/x
  3. Step 3: Cross multiply
    120,885.20x = 181,241.40 × 54,270.80
  4. Step 4: Simplify right side
    120,885.20x = 9,836,115,771.12
  5. Step 5: Solve for x
    x = 9,836,115,771.12/120,885.20
  6. Step 6: Final answer
    x = 81,367.41

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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.