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Finding the Fourth Proportional to 221,205.60, 331,808 and 54,993.60

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Solution

The fourth proportional to 221,205.60, 331,808 and 54,993.60 is: 82,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,205.60 : 331,808 = 54,993.60 : x
  2. Step 2: Convert to fraction form
    221,205.60/331,808 = 54,993.60/x
  3. Step 3: Cross multiply
    221,205.60x = 331,808 × 54,993.60
  4. Step 4: Simplify right side
    221,205.60x = 18,247,316,428.80
  5. Step 5: Solve for x
    x = 18,247,316,428.80/221,205.60
  6. Step 6: Final answer
    x = 82,490.30

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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.