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Finding the Fourth Proportional to 221,343.72, 305,453.70 and 120,741

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Solution

The fourth proportional to 221,343.72, 305,453.70 and 120,741 is: 166,622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,343.72 : 305,453.70 = 120,741 : x
  2. Step 2: Convert to fraction form
    221,343.72/305,453.70 = 120,741/x
  3. Step 3: Cross multiply
    221,343.72x = 305,453.70 × 120,741
  4. Step 4: Simplify right side
    221,343.72x = 36,880,785,191.70
  5. Step 5: Solve for x
    x = 36,880,785,191.70/221,343.72
  6. Step 6: Final answer
    x = 166,622.23

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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.