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Finding the Fourth Proportional to 102,864, 154,296 and 28,992

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Solution

The fourth proportional to 102,864, 154,296 and 28,992 is: 43,488

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,864 : 154,296 = 28,992 : x
  2. Step 2: Convert to fraction form
    102,864/154,296 = 28,992/x
  3. Step 3: Cross multiply
    102,864x = 154,296 × 28,992
  4. Step 4: Simplify right side
    102,864x = 4,473,349,632
  5. Step 5: Solve for x
    x = 4,473,349,632/102,864
  6. Step 6: Final answer
    x = 43,488

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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.