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Finding the Fourth Proportional to 120,770.90, 181,187.67 and 45,892.34

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Solution

The fourth proportional to 120,770.90, 181,187.67 and 45,892.34 is: 68,850.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,770.90 : 181,187.67 = 45,892.34 : x
  2. Step 2: Convert to fraction form
    120,770.90/181,187.67 = 45,892.34/x
  3. Step 3: Cross multiply
    120,770.90x = 181,187.67 × 45,892.34
  4. Step 4: Simplify right side
    120,770.90x = 8,315,126,155.45
  5. Step 5: Solve for x
    x = 8,315,126,155.45/120,770.90
  6. Step 6: Final answer
    x = 68,850.41

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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.