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Finding the Fourth Proportional to 70,206, 105,309 and 20,958

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Solution

The fourth proportional to 70,206, 105,309 and 20,958 is: 31,437

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,206 : 105,309 = 20,958 : x
  2. Step 2: Convert to fraction form
    70,206/105,309 = 20,958/x
  3. Step 3: Cross multiply
    70,206x = 105,309 × 20,958
  4. Step 4: Simplify right side
    70,206x = 2,207,066,022
  5. Step 5: Solve for x
    x = 2,207,066,022/70,206
  6. Step 6: Final answer
    x = 31,437

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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.