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Finding the Fourth Proportional to 213,185.21, 319,609.11 and 80,050.64

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Solution

The fourth proportional to 213,185.21, 319,609.11 and 80,050.64 is: 120,012.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,185.21 : 319,609.11 = 80,050.64 : x
  2. Step 2: Convert to fraction form
    213,185.21/319,609.11 = 80,050.64/x
  3. Step 3: Cross multiply
    213,185.21x = 319,609.11 × 80,050.64
  4. Step 4: Simplify right side
    213,185.21x = 25,584,912,207.28
  5. Step 5: Solve for x
    x = 25,584,912,207.28/213,185.21
  6. Step 6: Final answer
    x = 120,012.61

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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.