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Finding the Fourth Proportional to 70,578, 105,867 and 21,330

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Solution

The fourth proportional to 70,578, 105,867 and 21,330 is: 31,995

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,578 : 105,867 = 21,330 : x
  2. Step 2: Convert to fraction form
    70,578/105,867 = 21,330/x
  3. Step 3: Cross multiply
    70,578x = 105,867 × 21,330
  4. Step 4: Simplify right side
    70,578x = 2,258,143,110
  5. Step 5: Solve for x
    x = 2,258,143,110/70,578
  6. Step 6: Final answer
    x = 31,995

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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.