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Finding the Fourth Proportional to 73,615, 110,422.50 and 18,211

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Solution

The fourth proportional to 73,615, 110,422.50 and 18,211 is: 27,316.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,615 : 110,422.50 = 18,211 : x
  2. Step 2: Convert to fraction form
    73,615/110,422.50 = 18,211/x
  3. Step 3: Cross multiply
    73,615x = 110,422.50 × 18,211
  4. Step 4: Simplify right side
    73,615x = 2,010,904,147.50
  5. Step 5: Solve for x
    x = 2,010,904,147.50/73,615
  6. Step 6: Final answer
    x = 27,316.50

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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.