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Finding the Fourth Proportional to 221,102.56, 305,121.18 and 120,500.56

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Solution

The fourth proportional to 221,102.56, 305,121.18 and 120,500.56 is: 166,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,102.56 : 305,121.18 = 120,500.56 : x
  2. Step 2: Convert to fraction form
    221,102.56/305,121.18 = 120,500.56/x
  3. Step 3: Cross multiply
    221,102.56x = 305,121.18 × 120,500.56
  4. Step 4: Simplify right side
    221,102.56x = 36,767,273,057.86
  5. Step 5: Solve for x
    x = 36,767,273,057.86/221,102.56
  6. Step 6: Final answer
    x = 166,290.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.