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Finding the Fourth Proportional to 221,560.29, 305,751.63 and 120,958.29

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Solution

The fourth proportional to 221,560.29, 305,751.63 and 120,958.29 is: 166,921.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,560.29 : 305,751.63 = 120,958.29 : x
  2. Step 2: Convert to fraction form
    221,560.29/305,751.63 = 120,958.29/x
  3. Step 3: Cross multiply
    221,560.29x = 305,751.63 × 120,958.29
  4. Step 4: Simplify right side
    221,560.29x = 36,983,194,329.51
  5. Step 5: Solve for x
    x = 36,983,194,329.51/221,560.29
  6. Step 6: Final answer
    x = 166,921.58

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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.