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Finding the Fourth Proportional to 81,950.22, 122,745.50 and 67,749.30

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Solution

The fourth proportional to 81,950.22, 122,745.50 and 67,749.30 is: 101,475.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,950.22 : 122,745.50 = 67,749.30 : x
  2. Step 2: Convert to fraction form
    81,950.22/122,745.50 = 67,749.30/x
  3. Step 3: Cross multiply
    81,950.22x = 122,745.50 × 67,749.30
  4. Step 4: Simplify right side
    81,950.22x = 8,315,921,703.15
  5. Step 5: Solve for x
    x = 8,315,921,703.15/81,950.22
  6. Step 6: Final answer
    x = 101,475.28

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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.