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Finding the Fourth Proportional to 188,072.73, 259,538.04 and 103,189.73

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Solution

The fourth proportional to 188,072.73, 259,538.04 and 103,189.73 is: 142,400.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,072.73 : 259,538.04 = 103,189.73 : x
  2. Step 2: Convert to fraction form
    188,072.73/259,538.04 = 103,189.73/x
  3. Step 3: Cross multiply
    188,072.73x = 259,538.04 × 103,189.73
  4. Step 4: Simplify right side
    188,072.73x = 26,781,658,974.64
  5. Step 5: Solve for x
    x = 26,781,658,974.64/188,072.73
  6. Step 6: Final answer
    x = 142,400.54

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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.