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Finding the Fourth Proportional to 47,670, 71,481.78 and 14,383.80

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Solution

The fourth proportional to 47,670, 71,481.78 and 14,383.80 is: 21,568.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,670 : 71,481.78 = 14,383.80 : x
  2. Step 2: Convert to fraction form
    47,670/71,481.78 = 14,383.80/x
  3. Step 3: Cross multiply
    47,670x = 71,481.78 × 14,383.80
  4. Step 4: Simplify right side
    47,670x = 1,028,179,627.16
  5. Step 5: Solve for x
    x = 1,028,179,627.16/47,670
  6. Step 6: Final answer
    x = 21,568.69

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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.