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Finding the Fourth Proportional to 70,626, 105,939 and 21,378

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Solution

The fourth proportional to 70,626, 105,939 and 21,378 is: 32,067

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,626 : 105,939 = 21,378 : x
  2. Step 2: Convert to fraction form
    70,626/105,939 = 21,378/x
  3. Step 3: Cross multiply
    70,626x = 105,939 × 21,378
  4. Step 4: Simplify right side
    70,626x = 2,264,763,942
  5. Step 5: Solve for x
    x = 2,264,763,942/70,626
  6. Step 6: Final answer
    x = 32,067

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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.