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Finding the Fourth Proportional to 100,388.97, 150,485.54 and 47,784.33

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Solution

The fourth proportional to 100,388.97, 150,485.54 and 47,784.33 is: 71,629.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,388.97 : 150,485.54 = 47,784.33 : x
  2. Step 2: Convert to fraction form
    100,388.97/150,485.54 = 47,784.33/x
  3. Step 3: Cross multiply
    100,388.97x = 150,485.54 × 47,784.33
  4. Step 4: Simplify right side
    100,388.97x = 7,190,850,464.67
  5. Step 5: Solve for x
    x = 7,190,850,464.67/100,388.97
  6. Step 6: Final answer
    x = 71,629.89

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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.