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Finding the Fourth Proportional to 221,102.49, 331,653.74 and 54,890.49

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Solution

The fourth proportional to 221,102.49, 331,653.74 and 54,890.49 is: 82,335.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,102.49 : 331,653.74 = 54,890.49 : x
  2. Step 2: Convert to fraction form
    221,102.49/331,653.74 = 54,890.49/x
  3. Step 3: Cross multiply
    221,102.49x = 331,653.74 × 54,890.49
  4. Step 4: Simplify right side
    221,102.49x = 18,204,636,024.48
  5. Step 5: Solve for x
    x = 18,204,636,024.48/221,102.49
  6. Step 6: Final answer
    x = 82,335.74

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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.