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Finding the Fourth Proportional to 221,803.28, 332,732.56 and 86,849.92

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Solution

The fourth proportional to 221,803.28, 332,732.56 and 86,849.92 is: 130,285.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,803.28 : 332,732.56 = 86,849.92 : x
  2. Step 2: Convert to fraction form
    221,803.28/332,732.56 = 86,849.92/x
  3. Step 3: Cross multiply
    221,803.28x = 332,732.56 × 86,849.92
  4. Step 4: Simplify right side
    221,803.28x = 28,897,796,579.03
  5. Step 5: Solve for x
    x = 28,897,796,579.03/221,803.28
  6. Step 6: Final answer
    x = 130,285.71

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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.