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Finding the Fourth Proportional to 269,840.88, 405,010.24 and 136,814

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Solution

The fourth proportional to 269,840.88, 405,010.24 and 136,814 is: 205,347.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,840.88 : 405,010.24 = 136,814 : x
  2. Step 2: Convert to fraction form
    269,840.88/405,010.24 = 136,814/x
  3. Step 3: Cross multiply
    269,840.88x = 405,010.24 × 136,814
  4. Step 4: Simplify right side
    269,840.88x = 55,411,070,975.36
  5. Step 5: Solve for x
    x = 55,411,070,975.36/269,840.88
  6. Step 6: Final answer
    x = 205,347.21

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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.