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Finding the Fourth Proportional to 258,069, 356,135.22 and 144,891.75

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Solution

The fourth proportional to 258,069, 356,135.22 and 144,891.75 is: 199,950.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,069 : 356,135.22 = 144,891.75 : x
  2. Step 2: Convert to fraction form
    258,069/356,135.22 = 144,891.75/x
  3. Step 3: Cross multiply
    258,069x = 356,135.22 × 144,891.75
  4. Step 4: Simplify right side
    258,069x = 51,601,055,262.44
  5. Step 5: Solve for x
    x = 51,601,055,262.44/258,069
  6. Step 6: Final answer
    x = 199,950.62

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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.