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Finding the Fourth Proportional to 100,784.54, 151,198.67 and 30,662.03

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Solution

The fourth proportional to 100,784.54, 151,198.67 and 30,662.03 is: 45,999.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,784.54 : 151,198.67 = 30,662.03 : x
  2. Step 2: Convert to fraction form
    100,784.54/151,198.67 = 30,662.03/x
  3. Step 3: Cross multiply
    100,784.54x = 151,198.67 × 30,662.03
  4. Step 4: Simplify right side
    100,784.54x = 4,636,057,246.20
  5. Step 5: Solve for x
    x = 4,636,057,246.20/100,784.54
  6. Step 6: Final answer
    x = 45,999.69

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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.