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Finding the Fourth Proportional to 221,458, 332,187 and 71,823.48

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Solution

The fourth proportional to 221,458, 332,187 and 71,823.48 is: 107,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,458 : 332,187 = 71,823.48 : x
  2. Step 2: Convert to fraction form
    221,458/332,187 = 71,823.48/x
  3. Step 3: Cross multiply
    221,458x = 332,187 × 71,823.48
  4. Step 4: Simplify right side
    221,458x = 23,858,826,350.76
  5. Step 5: Solve for x
    x = 23,858,826,350.76/221,458
  6. Step 6: Final answer
    x = 107,735.22

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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.