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Finding the Fourth Proportional to 221,201.52, 331,802 and 54,989.52

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Solution

The fourth proportional to 221,201.52, 331,802 and 54,989.52 is: 82,484.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,201.52 : 331,802 = 54,989.52 : x
  2. Step 2: Convert to fraction form
    221,201.52/331,802 = 54,989.52/x
  3. Step 3: Cross multiply
    221,201.52x = 331,802 × 54,989.52
  4. Step 4: Simplify right side
    221,201.52x = 18,245,632,715.04
  5. Step 5: Solve for x
    x = 18,245,632,715.04/221,201.52
  6. Step 6: Final answer
    x = 82,484.21

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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.