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Finding the Fourth Proportional to 220,903, 331,354.50 and 54,691

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Solution

The fourth proportional to 220,903, 331,354.50 and 54,691 is: 82,036.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,903 : 331,354.50 = 54,691 : x
  2. Step 2: Convert to fraction form
    220,903/331,354.50 = 54,691/x
  3. Step 3: Cross multiply
    220,903x = 331,354.50 × 54,691
  4. Step 4: Simplify right side
    220,903x = 18,122,108,959.50
  5. Step 5: Solve for x
    x = 18,122,108,959.50/220,903
  6. Step 6: Final answer
    x = 82,036.50

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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.