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Finding the Fourth Proportional to 188,309.66, 259,912.60 and 107,783.92

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Solution

The fourth proportional to 188,309.66, 259,912.60 and 107,783.92 is: 148,767.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,309.66 : 259,912.60 = 107,783.92 : x
  2. Step 2: Convert to fraction form
    188,309.66/259,912.60 = 107,783.92/x
  3. Step 3: Cross multiply
    188,309.66x = 259,912.60 × 107,783.92
  4. Step 4: Simplify right side
    188,309.66x = 28,014,397,478.81
  5. Step 5: Solve for x
    x = 28,014,397,478.81/188,309.66
  6. Step 6: Final answer
    x = 148,767.71

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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.