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Finding the Fourth Proportional to 188,383.86, 259,968.96 and 107,811

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Solution

The fourth proportional to 188,383.86, 259,968.96 and 107,811 is: 148,778.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,383.86 : 259,968.96 = 107,811 : x
  2. Step 2: Convert to fraction form
    188,383.86/259,968.96 = 107,811/x
  3. Step 3: Cross multiply
    188,383.86x = 259,968.96 × 107,811
  4. Step 4: Simplify right side
    188,383.86x = 28,027,513,546.56
  5. Step 5: Solve for x
    x = 28,027,513,546.56/188,383.86
  6. Step 6: Final answer
    x = 148,778.74

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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.