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Finding the Fourth Proportional to 80,969.65, 111,738.31 and 45,161.98

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Solution

The fourth proportional to 80,969.65, 111,738.31 and 45,161.98 is: 62,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,969.65 : 111,738.31 = 45,161.98 : x
  2. Step 2: Convert to fraction form
    80,969.65/111,738.31 = 45,161.98/x
  3. Step 3: Cross multiply
    80,969.65x = 111,738.31 × 45,161.98
  4. Step 4: Simplify right side
    80,969.65x = 5,046,322,929.20
  5. Step 5: Solve for x
    x = 5,046,322,929.20/80,969.65
  6. Step 6: Final answer
    x = 62,323.64

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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.