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Finding the Fourth Proportional to 90,034, 135,052.83 and 27,704.50

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Solution

The fourth proportional to 90,034, 135,052.83 and 27,704.50 is: 41,557.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,034 : 135,052.83 = 27,704.50 : x
  2. Step 2: Convert to fraction form
    90,034/135,052.83 = 27,704.50/x
  3. Step 3: Cross multiply
    90,034x = 135,052.83 × 27,704.50
  4. Step 4: Simplify right side
    90,034x = 3,741,571,128.74
  5. Step 5: Solve for x
    x = 3,741,571,128.74/90,034
  6. Step 6: Final answer
    x = 41,557.31

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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.