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Finding the Fourth Proportional to 67,824, 101,738.88 and 18,576

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Solution

The fourth proportional to 67,824, 101,738.88 and 18,576 is: 27,864.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,824 : 101,738.88 = 18,576 : x
  2. Step 2: Convert to fraction form
    67,824/101,738.88 = 18,576/x
  3. Step 3: Cross multiply
    67,824x = 101,738.88 × 18,576
  4. Step 4: Simplify right side
    67,824x = 1,889,901,434.88
  5. Step 5: Solve for x
    x = 1,889,901,434.88/67,824
  6. Step 6: Final answer
    x = 27,864.79

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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.