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Finding the Fourth Proportional to 135,616.50, 203,424.78 and 52,510.50

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Solution

The fourth proportional to 135,616.50, 203,424.78 and 52,510.50 is: 78,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,616.50 : 203,424.78 = 52,510.50 : x
  2. Step 2: Convert to fraction form
    135,616.50/203,424.78 = 52,510.50/x
  3. Step 3: Cross multiply
    135,616.50x = 203,424.78 × 52,510.50
  4. Step 4: Simplify right side
    135,616.50x = 10,681,936,910.19
  5. Step 5: Solve for x
    x = 10,681,936,910.19/135,616.50
  6. Step 6: Final answer
    x = 78,765.76

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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.