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Finding the Fourth Proportional to 68,496, 102,744 and 19,248

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Solution

The fourth proportional to 68,496, 102,744 and 19,248 is: 28,872

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,496 : 102,744 = 19,248 : x
  2. Step 2: Convert to fraction form
    68,496/102,744 = 19,248/x
  3. Step 3: Cross multiply
    68,496x = 102,744 × 19,248
  4. Step 4: Simplify right side
    68,496x = 1,977,616,512
  5. Step 5: Solve for x
    x = 1,977,616,512/68,496
  6. Step 6: Final answer
    x = 28,872

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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.