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Finding the Fourth Proportional to 221,205, 331,808.72 and 54,993

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Solution

The fourth proportional to 221,205, 331,808.72 and 54,993 is: 82,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,205 : 331,808.72 = 54,993 : x
  2. Step 2: Convert to fraction form
    221,205/331,808.72 = 54,993/x
  3. Step 3: Cross multiply
    221,205x = 331,808.72 × 54,993
  4. Step 4: Simplify right side
    221,205x = 18,247,156,664.00
  5. Step 5: Solve for x
    x = 18,247,156,664.00/221,205
  6. Step 6: Final answer
    x = 82,489.80

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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.