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Finding the Fourth Proportional to 100,059.54, 138,081.09 and 54,738.42

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Solution

The fourth proportional to 100,059.54, 138,081.09 and 54,738.42 is: 75,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,059.54 : 138,081.09 = 54,738.42 : x
  2. Step 2: Convert to fraction form
    100,059.54/138,081.09 = 54,738.42/x
  3. Step 3: Cross multiply
    100,059.54x = 138,081.09 × 54,738.42
  4. Step 4: Simplify right side
    100,059.54x = 7,558,340,698.48
  5. Step 5: Solve for x
    x = 7,558,340,698.48/100,059.54
  6. Step 6: Final answer
    x = 75,538.43

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1.5x scale

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.