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Finding the Fourth Proportional to 221,214, 331,822.29 and 55,002

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Solution

The fourth proportional to 221,214, 331,822.29 and 55,002 is: 82,503.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,214 : 331,822.29 = 55,002 : x
  2. Step 2: Convert to fraction form
    221,214/331,822.29 = 55,002/x
  3. Step 3: Cross multiply
    221,214x = 331,822.29 × 55,002
  4. Step 4: Simplify right side
    221,214x = 18,250,889,594.58
  5. Step 5: Solve for x
    x = 18,250,889,594.58/221,214
  6. Step 6: Final answer
    x = 82,503.32

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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.