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Finding the Fourth Proportional to 120,781.89, 181,179.14 and 36,539.93

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Solution

The fourth proportional to 120,781.89, 181,179.14 and 36,539.93 is: 54,811.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,781.89 : 181,179.14 = 36,539.93 : x
  2. Step 2: Convert to fraction form
    120,781.89/181,179.14 = 36,539.93/x
  3. Step 3: Cross multiply
    120,781.89x = 181,179.14 × 36,539.93
  4. Step 4: Simplify right side
    120,781.89x = 6,620,272,004.46
  5. Step 5: Solve for x
    x = 6,620,272,004.46/120,781.89
  6. Step 6: Final answer
    x = 54,811.79

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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.