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Finding the Fourth Proportional to 212,793.40, 319,201.08 and 55,023.22

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Solution

The fourth proportional to 212,793.40, 319,201.08 and 55,023.22 is: 82,537.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,793.40 : 319,201.08 = 55,023.22 : x
  2. Step 2: Convert to fraction form
    212,793.40/319,201.08 = 55,023.22/x
  3. Step 3: Cross multiply
    212,793.40x = 319,201.08 × 55,023.22
  4. Step 4: Simplify right side
    212,793.40x = 17,563,471,249.08
  5. Step 5: Solve for x
    x = 17,563,471,249.08/212,793.40
  6. Step 6: Final answer
    x = 82,537.67

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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.