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Finding the Fourth Proportional to 120,770.40, 181,186.92 and 45,891.84

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Solution

The fourth proportional to 120,770.40, 181,186.92 and 45,891.84 is: 68,849.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,770.40 : 181,186.92 = 45,891.84 : x
  2. Step 2: Convert to fraction form
    120,770.40/181,186.92 = 45,891.84/x
  3. Step 3: Cross multiply
    120,770.40x = 181,186.92 × 45,891.84
  4. Step 4: Simplify right side
    120,770.40x = 8,315,001,142.73
  5. Step 5: Solve for x
    x = 8,315,001,142.73/120,770.40
  6. Step 6: Final answer
    x = 68,849.66

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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.