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Finding the Fourth Proportional to 120,741.48, 181,112.22 and 45,861.46

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Solution

The fourth proportional to 120,741.48, 181,112.22 and 45,861.46 is: 68,792.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,741.48 : 181,112.22 = 45,861.46 : x
  2. Step 2: Convert to fraction form
    120,741.48/181,112.22 = 45,861.46/x
  3. Step 3: Cross multiply
    120,741.48x = 181,112.22 × 45,861.46
  4. Step 4: Simplify right side
    120,741.48x = 8,306,070,380.26
  5. Step 5: Solve for x
    x = 8,306,070,380.26/120,741.48
  6. Step 6: Final answer
    x = 68,792.19

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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.