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Finding the Fourth Proportional to 68,256, 102,384 and 19,008

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Solution

The fourth proportional to 68,256, 102,384 and 19,008 is: 28,512

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,256 : 102,384 = 19,008 : x
  2. Step 2: Convert to fraction form
    68,256/102,384 = 19,008/x
  3. Step 3: Cross multiply
    68,256x = 102,384 × 19,008
  4. Step 4: Simplify right side
    68,256x = 1,946,115,072
  5. Step 5: Solve for x
    x = 1,946,115,072/68,256
  6. Step 6: Final answer
    x = 28,512

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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.