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Finding the Fourth Proportional to 100,858.54, 151,310.28 and 30,743.32

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Solution

The fourth proportional to 100,858.54, 151,310.28 and 30,743.32 is: 46,121.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,858.54 : 151,310.28 = 30,743.32 : x
  2. Step 2: Convert to fraction form
    100,858.54/151,310.28 = 30,743.32/x
  3. Step 3: Cross multiply
    100,858.54x = 151,310.28 × 30,743.32
  4. Step 4: Simplify right side
    100,858.54x = 4,651,780,357.33
  5. Step 5: Solve for x
    x = 4,651,780,357.33/100,858.54
  6. Step 6: Final answer
    x = 46,121.83

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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.