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Finding the Fourth Proportional to 204,419.80, 306,644.10 and 115,715.80

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Solution

The fourth proportional to 204,419.80, 306,644.10 and 115,715.80 is: 173,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,419.80 : 306,644.10 = 115,715.80 : x
  2. Step 2: Convert to fraction form
    204,419.80/306,644.10 = 115,715.80/x
  3. Step 3: Cross multiply
    204,419.80x = 306,644.10 × 115,715.80
  4. Step 4: Simplify right side
    204,419.80x = 35,483,567,346.78
  5. Step 5: Solve for x
    x = 35,483,567,346.78/204,419.80
  6. Step 6: Final answer
    x = 173,581.85

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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.