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Finding the Fourth Proportional to 81,967.60, 113,116.90 and 49,694.32

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Solution

The fourth proportional to 81,967.60, 113,116.90 and 49,694.32 is: 68,579.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,967.60 : 113,116.90 = 49,694.32 : x
  2. Step 2: Convert to fraction form
    81,967.60/113,116.90 = 49,694.32/x
  3. Step 3: Cross multiply
    81,967.60x = 113,116.90 × 49,694.32
  4. Step 4: Simplify right side
    81,967.60x = 5,621,267,078.44
  5. Step 5: Solve for x
    x = 5,621,267,078.44/81,967.60
  6. Step 6: Final answer
    x = 68,579.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.