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Finding the Fourth Proportional to 220,899, 331,348.50 and 54,687

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Solution

The fourth proportional to 220,899, 331,348.50 and 54,687 is: 82,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,899 : 331,348.50 = 54,687 : x
  2. Step 2: Convert to fraction form
    220,899/331,348.50 = 54,687/x
  3. Step 3: Cross multiply
    220,899x = 331,348.50 × 54,687
  4. Step 4: Simplify right side
    220,899x = 18,120,455,419.50
  5. Step 5: Solve for x
    x = 18,120,455,419.50/220,899
  6. Step 6: Final answer
    x = 82,030.50

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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.