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Finding the Fourth Proportional to 135,267.69, 186,729.20 and 80,839.06

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Solution

The fourth proportional to 135,267.69, 186,729.20 and 80,839.06 is: 111,593.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,267.69 : 186,729.20 = 80,839.06 : x
  2. Step 2: Convert to fraction form
    135,267.69/186,729.20 = 80,839.06/x
  3. Step 3: Cross multiply
    135,267.69x = 186,729.20 × 80,839.06
  4. Step 4: Simplify right side
    135,267.69x = 15,095,013,002.55
  5. Step 5: Solve for x
    x = 15,095,013,002.55/135,267.69
  6. Step 6: Final answer
    x = 111,593.63

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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.