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Finding the Fourth Proportional to 221,057.91, 305,059.85 and 120,455.91

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Solution

The fourth proportional to 221,057.91, 305,059.85 and 120,455.91 is: 166,229.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,057.91 : 305,059.85 = 120,455.91 : x
  2. Step 2: Convert to fraction form
    221,057.91/305,059.85 = 120,455.91/x
  3. Step 3: Cross multiply
    221,057.91x = 305,059.85 × 120,455.91
  4. Step 4: Simplify right side
    221,057.91x = 36,746,260,310.91
  5. Step 5: Solve for x
    x = 36,746,260,310.91/221,057.91
  6. Step 6: Final answer
    x = 166,229.12

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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.