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Finding the Fourth Proportional to 120,862.42, 181,231.38 and 54,245.44

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Solution

The fourth proportional to 120,862.42, 181,231.38 and 54,245.44 is: 81,340.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,862.42 : 181,231.38 = 54,245.44 : x
  2. Step 2: Convert to fraction form
    120,862.42/181,231.38 = 54,245.44/x
  3. Step 3: Cross multiply
    120,862.42x = 181,231.38 × 54,245.44
  4. Step 4: Simplify right side
    120,862.42x = 9,830,975,949.91
  5. Step 5: Solve for x
    x = 9,830,975,949.91/120,862.42
  6. Step 6: Final answer
    x = 81,340.22

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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.