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Finding the Fourth Proportional to 47,969.78, 71,959.80 and 18,412.88

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Solution

The fourth proportional to 47,969.78, 71,959.80 and 18,412.88 is: 27,621.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,969.78 : 71,959.80 = 18,412.88 : x
  2. Step 2: Convert to fraction form
    47,969.78/71,959.80 = 18,412.88/x
  3. Step 3: Cross multiply
    47,969.78x = 71,959.80 × 18,412.88
  4. Step 4: Simplify right side
    47,969.78x = 1,324,987,162.22
  5. Step 5: Solve for x
    x = 1,324,987,162.22/47,969.78
  6. Step 6: Final answer
    x = 27,621.29

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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.