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Finding the Fourth Proportional to 187,791.30, 259,241.79 and 107,203.25

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Solution

The fourth proportional to 187,791.30, 259,241.79 and 107,203.25 is: 147,991.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,791.30 : 259,241.79 = 107,203.25 : x
  2. Step 2: Convert to fraction form
    187,791.30/259,241.79 = 107,203.25/x
  3. Step 3: Cross multiply
    187,791.30x = 259,241.79 × 107,203.25
  4. Step 4: Simplify right side
    187,791.30x = 27,791,563,473.93
  5. Step 5: Solve for x
    x = 27,791,563,473.93/187,791.30
  6. Step 6: Final answer
    x = 147,991.75

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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.