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Finding the Fourth Proportional to 80,339.58, 120,564.63 and 27,749.16

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Solution

The fourth proportional to 80,339.58, 120,564.63 and 27,749.16 is: 41,642.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,339.58 : 120,564.63 = 27,749.16 : x
  2. Step 2: Convert to fraction form
    80,339.58/120,564.63 = 27,749.16/x
  3. Step 3: Cross multiply
    80,339.58x = 120,564.63 × 27,749.16
  4. Step 4: Simplify right side
    80,339.58x = 3,345,567,208.21
  5. Step 5: Solve for x
    x = 3,345,567,208.21/80,339.58
  6. Step 6: Final answer
    x = 41,642.83

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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.