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Finding the Fourth Proportional to 120,781.86, 181,233 and 54,269.52

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Solution

The fourth proportional to 120,781.86, 181,233 and 54,269.52 is: 81,431.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,781.86 : 181,233 = 54,269.52 : x
  2. Step 2: Convert to fraction form
    120,781.86/181,233 = 54,269.52/x
  3. Step 3: Cross multiply
    120,781.86x = 181,233 × 54,269.52
  4. Step 4: Simplify right side
    120,781.86x = 9,835,427,918.16
  5. Step 5: Solve for x
    x = 9,835,427,918.16/120,781.86
  6. Step 6: Final answer
    x = 81,431.33

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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.