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Finding the Fourth Proportional to 70,494, 105,741 and 21,246

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Solution

The fourth proportional to 70,494, 105,741 and 21,246 is: 31,869

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,494 : 105,741 = 21,246 : x
  2. Step 2: Convert to fraction form
    70,494/105,741 = 21,246/x
  3. Step 3: Cross multiply
    70,494x = 105,741 × 21,246
  4. Step 4: Simplify right side
    70,494x = 2,246,573,286
  5. Step 5: Solve for x
    x = 2,246,573,286/70,494
  6. Step 6: Final answer
    x = 31,869

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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.