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Finding the Fourth Proportional to 90,576, 135,879.36 and 28,234.08

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Solution

The fourth proportional to 90,576, 135,879.36 and 28,234.08 is: 42,355.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,576 : 135,879.36 = 28,234.08 : x
  2. Step 2: Convert to fraction form
    90,576/135,879.36 = 28,234.08/x
  3. Step 3: Cross multiply
    90,576x = 135,879.36 × 28,234.08
  4. Step 4: Simplify right side
    90,576x = 3,836,428,720.59
  5. Step 5: Solve for x
    x = 3,836,428,720.59/90,576
  6. Step 6: Final answer
    x = 42,355.91

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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.