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Finding the Fourth Proportional to 68,512, 102,768.04 and 19,264

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Solution

The fourth proportional to 68,512, 102,768.04 and 19,264 is: 28,896.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,512 : 102,768.04 = 19,264 : x
  2. Step 2: Convert to fraction form
    68,512/102,768.04 = 19,264/x
  3. Step 3: Cross multiply
    68,512x = 102,768.04 × 19,264
  4. Step 4: Simplify right side
    68,512x = 1,979,723,522.56
  5. Step 5: Solve for x
    x = 1,979,723,522.56/68,512
  6. Step 6: Final answer
    x = 28,896.01

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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.