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Finding the Fourth Proportional to 221,211, 331,817.76 and 54,999

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Solution

The fourth proportional to 221,211, 331,817.76 and 54,999 is: 82,498.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,211 : 331,817.76 = 54,999 : x
  2. Step 2: Convert to fraction form
    221,211/331,817.76 = 54,999/x
  3. Step 3: Cross multiply
    221,211x = 331,817.76 × 54,999
  4. Step 4: Simplify right side
    221,211x = 18,249,644,982.24
  5. Step 5: Solve for x
    x = 18,249,644,982.24/221,211
  6. Step 6: Final answer
    x = 82,498.81

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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.