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Finding the Fourth Proportional to 137,271.26, 205,942.38 and 80,393.24

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Solution

The fourth proportional to 137,271.26, 205,942.38 and 80,393.24 is: 120,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,271.26 : 205,942.38 = 80,393.24 : x
  2. Step 2: Convert to fraction form
    137,271.26/205,942.38 = 80,393.24/x
  3. Step 3: Cross multiply
    137,271.26x = 205,942.38 × 80,393.24
  4. Step 4: Simplify right side
    137,271.26x = 16,556,375,181.51
  5. Step 5: Solve for x
    x = 16,556,375,181.51/137,271.26
  6. Step 6: Final answer
    x = 120,610.64

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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.