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Finding the Fourth Proportional to 73,154.88, 109,736.57 and 20,568.47

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Solution

The fourth proportional to 73,154.88, 109,736.57 and 20,568.47 is: 30,853.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,154.88 : 109,736.57 = 20,568.47 : x
  2. Step 2: Convert to fraction form
    73,154.88/109,736.57 = 20,568.47/x
  3. Step 3: Cross multiply
    73,154.88x = 109,736.57 × 20,568.47
  4. Step 4: Simplify right side
    73,154.88x = 2,257,112,850.69
  5. Step 5: Solve for x
    x = 2,257,112,850.69/73,154.88
  6. Step 6: Final answer
    x = 30,853.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.