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Finding the Fourth Proportional to 221,908.68, 332,830.22 and 81,634.50

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Solution

The fourth proportional to 221,908.68, 332,830.22 and 81,634.50 is: 122,439.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,908.68 : 332,830.22 = 81,634.50 : x
  2. Step 2: Convert to fraction form
    221,908.68/332,830.22 = 81,634.50/x
  3. Step 3: Cross multiply
    221,908.68x = 332,830.22 × 81,634.50
  4. Step 4: Simplify right side
    221,908.68x = 27,170,428,186.42
  5. Step 5: Solve for x
    x = 27,170,428,186.42/221,908.68
  6. Step 6: Final answer
    x = 122,439.68

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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.