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Finding the Fourth Proportional to 223,122, 307,877.37 and 131,245.44

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Solution

The fourth proportional to 223,122, 307,877.37 and 131,245.44 is: 181,100.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,122 : 307,877.37 = 131,245.44 : x
  2. Step 2: Convert to fraction form
    223,122/307,877.37 = 131,245.44/x
  3. Step 3: Cross multiply
    223,122x = 307,877.37 × 131,245.44
  4. Step 4: Simplify right side
    223,122x = 40,407,500,891.69
  5. Step 5: Solve for x
    x = 40,407,500,891.69/223,122
  6. Step 6: Final answer
    x = 181,100.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.