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Finding the Fourth Proportional to 43,448, 65,067.48 and 37,172

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Solution

The fourth proportional to 43,448, 65,067.48 and 37,172 is: 55,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,448 : 65,067.48 = 37,172 : x
  2. Step 2: Convert to fraction form
    43,448/65,067.48 = 37,172/x
  3. Step 3: Cross multiply
    43,448x = 65,067.48 × 37,172
  4. Step 4: Simplify right side
    43,448x = 2,418,688,366.56
  5. Step 5: Solve for x
    x = 2,418,688,366.56/43,448
  6. Step 6: Final answer
    x = 55,668.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.