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Finding the Fourth Proportional to 147,668, 203,786.24 and 80,604.32

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Solution

The fourth proportional to 147,668, 203,786.24 and 80,604.32 is: 111,236.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,668 : 203,786.24 = 80,604.32 : x
  2. Step 2: Convert to fraction form
    147,668/203,786.24 = 80,604.32/x
  3. Step 3: Cross multiply
    147,668x = 203,786.24 × 80,604.32
  4. Step 4: Simplify right side
    147,668x = 16,426,051,300.56
  5. Step 5: Solve for x
    x = 16,426,051,300.56/147,668
  6. Step 6: Final answer
    x = 111,236.36

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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.