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Finding the Fourth Proportional to 213,186.21, 319,610.61 and 80,051.64

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Solution

The fourth proportional to 213,186.21, 319,610.61 and 80,051.64 is: 120,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,186.21 : 319,610.61 = 80,051.64 : x
  2. Step 2: Convert to fraction form
    213,186.21/319,610.61 = 80,051.64/x
  3. Step 3: Cross multiply
    213,186.21x = 319,610.61 × 80,051.64
  4. Step 4: Simplify right side
    213,186.21x = 25,585,353,491.90
  5. Step 5: Solve for x
    x = 25,585,353,491.90/213,186.21
  6. Step 6: Final answer
    x = 120,014.11

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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.