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Finding the Fourth Proportional to 221,371.10, 305,495.52 and 120,769.10

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Solution

The fourth proportional to 221,371.10, 305,495.52 and 120,769.10 is: 166,663.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,371.10 : 305,495.52 = 120,769.10 : x
  2. Step 2: Convert to fraction form
    221,371.10/305,495.52 = 120,769.10/x
  3. Step 3: Cross multiply
    221,371.10x = 305,495.52 × 120,769.10
  4. Step 4: Simplify right side
    221,371.10x = 36,894,419,004.43
  5. Step 5: Solve for x
    x = 36,894,419,004.43/221,371.10
  6. Step 6: Final answer
    x = 166,663.21

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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.