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Finding the Fourth Proportional to 135,012.80, 202,130.40 and 82,524.80

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Solution

The fourth proportional to 135,012.80, 202,130.40 and 82,524.80 is: 123,549.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,012.80 : 202,130.40 = 82,524.80 : x
  2. Step 2: Convert to fraction form
    135,012.80/202,130.40 = 82,524.80/x
  3. Step 3: Cross multiply
    135,012.80x = 202,130.40 × 82,524.80
  4. Step 4: Simplify right side
    135,012.80x = 16,680,770,833.92
  5. Step 5: Solve for x
    x = 16,680,770,833.92/135,012.80
  6. Step 6: Final answer
    x = 123,549.55

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