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Finding the Fourth Proportional to 212,791.40, 319,198.08 and 55,021.22

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Solution

The fourth proportional to 212,791.40, 319,198.08 and 55,021.22 is: 82,534.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,791.40 : 319,198.08 = 55,021.22 : x
  2. Step 2: Convert to fraction form
    212,791.40/319,198.08 = 55,021.22/x
  3. Step 3: Cross multiply
    212,791.40x = 319,198.08 × 55,021.22
  4. Step 4: Simplify right side
    212,791.40x = 17,562,667,783.26
  5. Step 5: Solve for x
    x = 17,562,667,783.26/212,791.40
  6. Step 6: Final answer
    x = 82,534.67

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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.