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Finding the Fourth Proportional to 101,945.22, 152,917.83 and 31,830.54

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Solution

The fourth proportional to 101,945.22, 152,917.83 and 31,830.54 is: 47,745.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,945.22 : 152,917.83 = 31,830.54 : x
  2. Step 2: Convert to fraction form
    101,945.22/152,917.83 = 31,830.54/x
  3. Step 3: Cross multiply
    101,945.22x = 152,917.83 × 31,830.54
  4. Step 4: Simplify right side
    101,945.22x = 4,867,457,104.53
  5. Step 5: Solve for x
    x = 4,867,457,104.53/101,945.22
  6. Step 6: Final answer
    x = 47,745.81

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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.