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Finding the Fourth Proportional to 135,615, 203,422.50 and 52,509

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Solution

The fourth proportional to 135,615, 203,422.50 and 52,509 is: 78,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,615 : 203,422.50 = 52,509 : x
  2. Step 2: Convert to fraction form
    135,615/203,422.50 = 52,509/x
  3. Step 3: Cross multiply
    135,615x = 203,422.50 × 52,509
  4. Step 4: Simplify right side
    135,615x = 10,681,512,052.50
  5. Step 5: Solve for x
    x = 10,681,512,052.50/135,615
  6. Step 6: Final answer
    x = 78,763.50

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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.