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Finding the Fourth Proportional to 223,719.51, 335,380.26 and 81,538.05

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Solution

The fourth proportional to 223,719.51, 335,380.26 and 81,538.05 is: 122,234.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,719.51 : 335,380.26 = 81,538.05 : x
  2. Step 2: Convert to fraction form
    223,719.51/335,380.26 = 81,538.05/x
  3. Step 3: Cross multiply
    223,719.51x = 335,380.26 × 81,538.05
  4. Step 4: Simplify right side
    223,719.51x = 27,346,252,408.89
  5. Step 5: Solve for x
    x = 27,346,252,408.89/223,719.51
  6. Step 6: Final answer
    x = 122,234.54

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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.