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Finding the Fourth Proportional to 221,728.86, 332,646.25 and 71,969.58

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Solution

The fourth proportional to 221,728.86, 332,646.25 and 71,969.58 is: 107,971.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,728.86 : 332,646.25 = 71,969.58 : x
  2. Step 2: Convert to fraction form
    221,728.86/332,646.25 = 71,969.58/x
  3. Step 3: Cross multiply
    221,728.86x = 332,646.25 × 71,969.58
  4. Step 4: Simplify right side
    221,728.86x = 23,940,410,721.15
  5. Step 5: Solve for x
    x = 23,940,410,721.15/221,728.86
  6. Step 6: Final answer
    x = 107,971.56

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1.5x scale

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.