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Finding the Fourth Proportional to 204,636.78, 282,515.81 and 135,819.57

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Solution

The fourth proportional to 204,636.78, 282,515.81 and 135,819.57 is: 187,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,636.78 : 282,515.81 = 135,819.57 : x
  2. Step 2: Convert to fraction form
    204,636.78/282,515.81 = 135,819.57/x
  3. Step 3: Cross multiply
    204,636.78x = 282,515.81 × 135,819.57
  4. Step 4: Simplify right side
    204,636.78x = 38,371,175,832.40
  5. Step 5: Solve for x
    x = 38,371,175,832.40/204,636.78
  6. Step 6: Final answer
    x = 187,508.70

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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.