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Finding the Fourth Proportional to 90,225.69, 135,385.20 and 65,469.84

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Solution

The fourth proportional to 90,225.69, 135,385.20 and 65,469.84 is: 98,238.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,225.69 : 135,385.20 = 65,469.84 : x
  2. Step 2: Convert to fraction form
    90,225.69/135,385.20 = 65,469.84/x
  3. Step 3: Cross multiply
    90,225.69x = 135,385.20 × 65,469.84
  4. Step 4: Simplify right side
    90,225.69x = 8,863,647,382.37
  5. Step 5: Solve for x
    x = 8,863,647,382.37/90,225.69
  6. Step 6: Final answer
    x = 98,238.62

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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.