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Finding the Fourth Proportional to 223,004.29, 334,431.47 and 80,819.80

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Solution

The fourth proportional to 223,004.29, 334,431.47 and 80,819.80 is: 121,202.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,004.29 : 334,431.47 = 80,819.80 : x
  2. Step 2: Convert to fraction form
    223,004.29/334,431.47 = 80,819.80/x
  3. Step 3: Cross multiply
    223,004.29x = 334,431.47 × 80,819.80
  4. Step 4: Simplify right side
    223,004.29x = 27,028,684,371.05
  5. Step 5: Solve for x
    x = 27,028,684,371.05/223,004.29
  6. Step 6: Final answer
    x = 121,202.53

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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.