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Finding the Fourth Proportional to 80,339.32, 120,564.62 and 27,749.24

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Solution

The fourth proportional to 80,339.32, 120,564.62 and 27,749.24 is: 41,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,339.32 : 120,564.62 = 27,749.24 : x
  2. Step 2: Convert to fraction form
    80,339.32/120,564.62 = 27,749.24/x
  3. Step 3: Cross multiply
    80,339.32x = 120,564.62 × 27,749.24
  4. Step 4: Simplify right side
    80,339.32x = 3,345,576,575.89
  5. Step 5: Solve for x
    x = 3,345,576,575.89/80,339.32
  6. Step 6: Final answer
    x = 41,643.08

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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.