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Finding the Fourth Proportional to 188,091.44, 259,565.47 and 103,209.92

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Solution

The fourth proportional to 188,091.44, 259,565.47 and 103,209.92 is: 142,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,091.44 : 259,565.47 = 103,209.92 : x
  2. Step 2: Convert to fraction form
    188,091.44/259,565.47 = 103,209.92/x
  3. Step 3: Cross multiply
    188,091.44x = 259,565.47 × 103,209.92
  4. Step 4: Simplify right side
    188,091.44x = 26,789,729,837.61
  5. Step 5: Solve for x
    x = 26,789,729,837.61/188,091.44
  6. Step 6: Final answer
    x = 142,429.29

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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.