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Finding the Fourth Proportional to 82,178.34, 123,193.49 and 29,550.81

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Solution

The fourth proportional to 82,178.34, 123,193.49 and 29,550.81 is: 44,299.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,178.34 : 123,193.49 = 29,550.81 : x
  2. Step 2: Convert to fraction form
    82,178.34/123,193.49 = 29,550.81/x
  3. Step 3: Cross multiply
    82,178.34x = 123,193.49 × 29,550.81
  4. Step 4: Simplify right side
    82,178.34x = 3,640,467,416.23
  5. Step 5: Solve for x
    x = 3,640,467,416.23/82,178.34
  6. Step 6: Final answer
    x = 44,299.60

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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.