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Finding the Fourth Proportional to 138,362.14, 189,694.33 and 135,839.88

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Solution

The fourth proportional to 138,362.14, 189,694.33 and 135,839.88 is: 186,236.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,362.14 : 189,694.33 = 135,839.88 : x
  2. Step 2: Convert to fraction form
    138,362.14/189,694.33 = 135,839.88/x
  3. Step 3: Cross multiply
    138,362.14x = 189,694.33 × 135,839.88
  4. Step 4: Simplify right side
    138,362.14x = 25,768,055,023.88
  5. Step 5: Solve for x
    x = 25,768,055,023.88/138,362.14
  6. Step 6: Final answer
    x = 186,236.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.