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Finding the Fourth Proportional to 221,052.74, 305,053.17 and 120,450.74

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Solution

The fourth proportional to 221,052.74, 305,053.17 and 120,450.74 is: 166,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,052.74 : 305,053.17 = 120,450.74 : x
  2. Step 2: Convert to fraction form
    221,052.74/305,053.17 = 120,450.74/x
  3. Step 3: Cross multiply
    221,052.74x = 305,053.17 × 120,450.74
  4. Step 4: Simplify right side
    221,052.74x = 36,743,880,065.85
  5. Step 5: Solve for x
    x = 36,743,880,065.85/221,052.74
  6. Step 6: Final answer
    x = 166,222.23

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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.