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Finding the Fourth Proportional to 221,456.63, 332,228.69 and 81,216.47

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Solution

The fourth proportional to 221,456.63, 332,228.69 and 81,216.47 is: 121,840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,456.63 : 332,228.69 = 81,216.47 : x
  2. Step 2: Convert to fraction form
    221,456.63/332,228.69 = 81,216.47/x
  3. Step 3: Cross multiply
    221,456.63x = 332,228.69 × 81,216.47
  4. Step 4: Simplify right side
    221,456.63x = 26,982,442,163.58
  5. Step 5: Solve for x
    x = 26,982,442,163.58/221,456.63
  6. Step 6: Final answer
    x = 121,840.75

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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.