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Finding the Fourth Proportional to 205,379.54, 308,104.33 and 91,568.64

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Solution

The fourth proportional to 205,379.54, 308,104.33 and 91,568.64 is: 137,368.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,379.54 : 308,104.33 = 91,568.64 : x
  2. Step 2: Convert to fraction form
    205,379.54/308,104.33 = 91,568.64/x
  3. Step 3: Cross multiply
    205,379.54x = 308,104.33 × 91,568.64
  4. Step 4: Simplify right side
    205,379.54x = 28,212,694,247.29
  5. Step 5: Solve for x
    x = 28,212,694,247.29/205,379.54
  6. Step 6: Final answer
    x = 137,368.58

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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.