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Finding the Fourth Proportional to 147,636, 203,738.76 and 80,568

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Solution

The fourth proportional to 147,636, 203,738.76 and 80,568 is: 111,184.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,636 : 203,738.76 = 80,568 : x
  2. Step 2: Convert to fraction form
    147,636/203,738.76 = 80,568/x
  3. Step 3: Cross multiply
    147,636x = 203,738.76 × 80,568
  4. Step 4: Simplify right side
    147,636x = 16,414,824,415.68
  5. Step 5: Solve for x
    x = 16,414,824,415.68/147,636
  6. Step 6: Final answer
    x = 111,184.43

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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.