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Finding the Fourth Proportional to 221,542, 332,451.24 and 90,214

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Solution

The fourth proportional to 221,542, 332,451.24 and 90,214 is: 135,377.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,542 : 332,451.24 = 90,214 : x
  2. Step 2: Convert to fraction form
    221,542/332,451.24 = 90,214/x
  3. Step 3: Cross multiply
    221,542x = 332,451.24 × 90,214
  4. Step 4: Simplify right side
    221,542x = 29,991,756,165.36
  5. Step 5: Solve for x
    x = 29,991,756,165.36/221,542
  6. Step 6: Final answer
    x = 135,377.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.