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Finding the Fourth Proportional to 221,560.17, 305,751.46 and 120,958.17

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Solution

The fourth proportional to 221,560.17, 305,751.46 and 120,958.17 is: 166,921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,560.17 : 305,751.46 = 120,958.17 : x
  2. Step 2: Convert to fraction form
    221,560.17/305,751.46 = 120,958.17/x
  3. Step 3: Cross multiply
    221,560.17x = 305,751.46 × 120,958.17
  4. Step 4: Simplify right side
    221,560.17x = 36,983,137,076.43
  5. Step 5: Solve for x
    x = 36,983,137,076.43/221,560.17
  6. Step 6: Final answer
    x = 166,921.41

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1.5x scale

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.