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Finding the Fourth Proportional to 120,581.91, 180,770.81 and 45,660.76

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Solution

The fourth proportional to 120,581.91, 180,770.81 and 45,660.76 is: 68,452.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,581.91 : 180,770.81 = 45,660.76 : x
  2. Step 2: Convert to fraction form
    120,581.91/180,770.81 = 45,660.76/x
  3. Step 3: Cross multiply
    120,581.91x = 180,770.81 × 45,660.76
  4. Step 4: Simplify right side
    120,581.91x = 8,254,132,456.26
  5. Step 5: Solve for x
    x = 8,254,132,456.26/120,581.91
  6. Step 6: Final answer
    x = 68,452.49

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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.