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Finding the Fourth Proportional to 135,505, 186,996.90 and 82,513

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Solution

The fourth proportional to 135,505, 186,996.90 and 82,513 is: 113,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,505 : 186,996.90 = 82,513 : x
  2. Step 2: Convert to fraction form
    135,505/186,996.90 = 82,513/x
  3. Step 3: Cross multiply
    135,505x = 186,996.90 × 82,513
  4. Step 4: Simplify right side
    135,505x = 15,429,675,209.70
  5. Step 5: Solve for x
    x = 15,429,675,209.70/135,505
  6. Step 6: Final answer
    x = 113,867.94

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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.