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Finding the Fourth Proportional to 269,893.88, 405,087.77 and 136,865.96

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Solution

The fourth proportional to 269,893.88, 405,087.77 and 136,865.96 is: 205,424.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,893.88 : 405,087.77 = 136,865.96 : x
  2. Step 2: Convert to fraction form
    269,893.88/405,087.77 = 136,865.96/x
  3. Step 3: Cross multiply
    269,893.88x = 405,087.77 × 136,865.96
  4. Step 4: Simplify right side
    269,893.88x = 55,442,726,525.31
  5. Step 5: Solve for x
    x = 55,442,726,525.31/269,893.88
  6. Step 6: Final answer
    x = 205,424.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.