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Finding the Fourth Proportional to 100,694.64, 138,956.32 and 54,753.28

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Solution

The fourth proportional to 100,694.64, 138,956.32 and 54,753.28 is: 75,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,694.64 : 138,956.32 = 54,753.28 : x
  2. Step 2: Convert to fraction form
    100,694.64/138,956.32 = 54,753.28/x
  3. Step 3: Cross multiply
    100,694.64x = 138,956.32 × 54,753.28
  4. Step 4: Simplify right side
    100,694.64x = 7,608,314,296.73
  5. Step 5: Solve for x
    x = 7,608,314,296.73/100,694.64
  6. Step 6: Final answer
    x = 75,558.28

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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.