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Finding the Fourth Proportional to 221,685.72, 332,661.06 and 81,458.52

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Solution

The fourth proportional to 221,685.72, 332,661.06 and 81,458.52 is: 122,236.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,685.72 : 332,661.06 = 81,458.52 : x
  2. Step 2: Convert to fraction form
    221,685.72/332,661.06 = 81,458.52/x
  3. Step 3: Cross multiply
    221,685.72x = 332,661.06 × 81,458.52
  4. Step 4: Simplify right side
    221,685.72x = 27,098,077,609.23
  5. Step 5: Solve for x
    x = 27,098,077,609.23/221,685.72
  6. Step 6: Final answer
    x = 122,236.46

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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.