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Finding the Fourth Proportional to 217,758, 326,637 and 70,014

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Solution

The fourth proportional to 217,758, 326,637 and 70,014 is: 105,021

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,758 : 326,637 = 70,014 : x
  2. Step 2: Convert to fraction form
    217,758/326,637 = 70,014/x
  3. Step 3: Cross multiply
    217,758x = 326,637 × 70,014
  4. Step 4: Simplify right side
    217,758x = 22,869,162,918
  5. Step 5: Solve for x
    x = 22,869,162,918/217,758
  6. Step 6: Final answer
    x = 105,021

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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.