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Finding the Fourth Proportional to 221,688.72, 332,665.56 and 81,461.52

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Solution

The fourth proportional to 221,688.72, 332,665.56 and 81,461.52 is: 122,240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,688.72 : 332,665.56 = 81,461.52 : x
  2. Step 2: Convert to fraction form
    221,688.72/332,665.56 = 81,461.52/x
  3. Step 3: Cross multiply
    221,688.72x = 332,665.56 × 81,461.52
  4. Step 4: Simplify right side
    221,688.72x = 27,099,442,169.25
  5. Step 5: Solve for x
    x = 27,099,442,169.25/221,688.72
  6. Step 6: Final answer
    x = 122,240.96

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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.