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Finding the Fourth Proportional to 135,020.80, 202,142.40 and 82,532.80

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Solution

The fourth proportional to 135,020.80, 202,142.40 and 82,532.80 is: 123,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,020.80 : 202,142.40 = 82,532.80 : x
  2. Step 2: Convert to fraction form
    135,020.80/202,142.40 = 82,532.80/x
  3. Step 3: Cross multiply
    135,020.80x = 202,142.40 × 82,532.80
  4. Step 4: Simplify right side
    135,020.80x = 16,683,378,270.72
  5. Step 5: Solve for x
    x = 16,683,378,270.72/135,020.80
  6. Step 6: Final answer
    x = 123,561.54

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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.