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Finding the Fourth Proportional to 205,278, 283,249.08 and 137,185.44

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Solution

The fourth proportional to 205,278, 283,249.08 and 137,185.44 is: 189,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,278 : 283,249.08 = 137,185.44 : x
  2. Step 2: Convert to fraction form
    205,278/283,249.08 = 137,185.44/x
  3. Step 3: Cross multiply
    205,278x = 283,249.08 × 137,185.44
  4. Step 4: Simplify right side
    205,278x = 38,857,649,669.40
  5. Step 5: Solve for x
    x = 38,857,649,669.40/205,278
  6. Step 6: Final answer
    x = 189,292.81

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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.