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Finding the Fourth Proportional to 135,696, 187,260.48 and 82,704

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Solution

The fourth proportional to 135,696, 187,260.48 and 82,704 is: 114,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,696 : 187,260.48 = 82,704 : x
  2. Step 2: Convert to fraction form
    135,696/187,260.48 = 82,704/x
  3. Step 3: Cross multiply
    135,696x = 187,260.48 × 82,704
  4. Step 4: Simplify right side
    135,696x = 15,487,190,737.92
  5. Step 5: Solve for x
    x = 15,487,190,737.92/135,696
  6. Step 6: Final answer
    x = 114,131.52

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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.