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Finding the Fourth Proportional to 100,696.14, 138,958.40 and 54,754.78

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Solution

The fourth proportional to 100,696.14, 138,958.40 and 54,754.78 is: 75,560.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,696.14 : 138,958.40 = 54,754.78 : x
  2. Step 2: Convert to fraction form
    100,696.14/138,958.40 = 54,754.78/x
  3. Step 3: Cross multiply
    100,696.14x = 138,958.40 × 54,754.78
  4. Step 4: Simplify right side
    100,696.14x = 7,608,636,621.15
  5. Step 5: Solve for x
    x = 7,608,636,621.15/100,696.14
  6. Step 6: Final answer
    x = 75,560.36

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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.