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Finding the Fourth Proportional to 135,020.88, 202,376.88 and 82,313.28

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Solution

The fourth proportional to 135,020.88, 202,376.88 and 82,313.28 is: 123,375.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,020.88 : 202,376.88 = 82,313.28 : x
  2. Step 2: Convert to fraction form
    135,020.88/202,376.88 = 82,313.28/x
  3. Step 3: Cross multiply
    135,020.88x = 202,376.88 × 82,313.28
  4. Step 4: Simplify right side
    135,020.88x = 16,658,304,788.97
  5. Step 5: Solve for x
    x = 16,658,304,788.97/135,020.88
  6. Step 6: Final answer
    x = 123,375.77

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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.