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Finding the Fourth Proportional to 80,739.92, 111,434.44 and 47,199.44

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Solution

The fourth proportional to 80,739.92, 111,434.44 and 47,199.44 is: 65,143.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,739.92 : 111,434.44 = 47,199.44 : x
  2. Step 2: Convert to fraction form
    80,739.92/111,434.44 = 47,199.44/x
  3. Step 3: Cross multiply
    80,739.92x = 111,434.44 × 47,199.44
  4. Step 4: Simplify right side
    80,739.92x = 5,259,643,164.71
  5. Step 5: Solve for x
    x = 5,259,643,164.71/80,739.92
  6. Step 6: Final answer
    x = 65,143.03

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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.