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Finding the Fourth Proportional to 221,685.47, 332,660.69 and 81,458.27

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Solution

The fourth proportional to 221,685.47, 332,660.69 and 81,458.27 is: 122,236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,685.47 : 332,660.69 = 81,458.27 : x
  2. Step 2: Convert to fraction form
    221,685.47/332,660.69 = 81,458.27/x
  3. Step 3: Cross multiply
    221,685.47x = 332,660.69 × 81,458.27
  4. Step 4: Simplify right side
    221,685.47x = 27,097,964,304.41
  5. Step 5: Solve for x
    x = 27,097,964,304.41/221,685.47
  6. Step 6: Final answer
    x = 122,236.09

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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.