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Finding the Fourth Proportional to 82,650.30, 123,905.79 and 35,867.94

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Solution

The fourth proportional to 82,650.30, 123,905.79 and 35,867.94 is: 53,771.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,650.30 : 123,905.79 = 35,867.94 : x
  2. Step 2: Convert to fraction form
    82,650.30/123,905.79 = 35,867.94/x
  3. Step 3: Cross multiply
    82,650.30x = 123,905.79 × 35,867.94
  4. Step 4: Simplify right side
    82,650.30x = 4,444,245,441.37
  5. Step 5: Solve for x
    x = 4,444,245,441.37/82,650.30
  6. Step 6: Final answer
    x = 53,771.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.