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Finding the Fourth Proportional to 204,636.84, 282,515.90 and 135,819.63

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Solution

The fourth proportional to 204,636.84, 282,515.90 and 135,819.63 is: 187,508.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,636.84 : 282,515.90 = 135,819.63 : x
  2. Step 2: Convert to fraction form
    204,636.84/282,515.90 = 135,819.63/x
  3. Step 3: Cross multiply
    204,636.84x = 282,515.90 × 135,819.63
  4. Step 4: Simplify right side
    204,636.84x = 38,371,204,328.02
  5. Step 5: Solve for x
    x = 38,371,204,328.02/204,636.84
  6. Step 6: Final answer
    x = 187,508.78

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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.