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Finding the Fourth Proportional to 258,171, 356,294.16 and 144,993.84

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Solution

The fourth proportional to 258,171, 356,294.16 and 144,993.84 is: 200,101.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,171 : 356,294.16 = 144,993.84 : x
  2. Step 2: Convert to fraction form
    258,171/356,294.16 = 144,993.84/x
  3. Step 3: Cross multiply
    258,171x = 356,294.16 × 144,993.84
  4. Step 4: Simplify right side
    258,171x = 51,660,458,427.97
  5. Step 5: Solve for x
    x = 51,660,458,427.97/258,171
  6. Step 6: Final answer
    x = 200,101.71

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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.