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Finding the Fourth Proportional to 221,057.40, 305,059.16 and 120,455.40

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Solution

The fourth proportional to 221,057.40, 305,059.16 and 120,455.40 is: 166,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,057.40 : 305,059.16 = 120,455.40 : x
  2. Step 2: Convert to fraction form
    221,057.40/305,059.16 = 120,455.40/x
  3. Step 3: Cross multiply
    221,057.40x = 305,059.16 × 120,455.40
  4. Step 4: Simplify right side
    221,057.40x = 36,746,024,586.57
  5. Step 5: Solve for x
    x = 36,746,024,586.57/221,057.40
  6. Step 6: Final answer
    x = 166,228.43

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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.