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Finding the Fourth Proportional to 81,786.84, 122,699.87 and 39,617.64

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Solution

The fourth proportional to 81,786.84, 122,699.87 and 39,617.64 is: 59,435.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,786.84 : 122,699.87 = 39,617.64 : x
  2. Step 2: Convert to fraction form
    81,786.84/122,699.87 = 39,617.64/x
  3. Step 3: Cross multiply
    81,786.84x = 122,699.87 × 39,617.64
  4. Step 4: Simplify right side
    81,786.84x = 4,861,078,466.12
  5. Step 5: Solve for x
    x = 4,861,078,466.12/81,786.84
  6. Step 6: Final answer
    x = 59,435.95

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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.