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Finding the Fourth Proportional to 204,611.88, 282,407.97 and 137,505

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Solution

The fourth proportional to 204,611.88, 282,407.97 and 137,505 is: 189,786.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,611.88 : 282,407.97 = 137,505 : x
  2. Step 2: Convert to fraction form
    204,611.88/282,407.97 = 137,505/x
  3. Step 3: Cross multiply
    204,611.88x = 282,407.97 × 137,505
  4. Step 4: Simplify right side
    204,611.88x = 38,832,507,914.85
  5. Step 5: Solve for x
    x = 38,832,507,914.85/204,611.88
  6. Step 6: Final answer
    x = 189,786.18

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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.