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Finding the Fourth Proportional to 68,206, 102,309 and 18,958

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Solution

The fourth proportional to 68,206, 102,309 and 18,958 is: 28,437

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,206 : 102,309 = 18,958 : x
  2. Step 2: Convert to fraction form
    68,206/102,309 = 18,958/x
  3. Step 3: Cross multiply
    68,206x = 102,309 × 18,958
  4. Step 4: Simplify right side
    68,206x = 1,939,574,022
  5. Step 5: Solve for x
    x = 1,939,574,022/68,206
  6. Step 6: Final answer
    x = 28,437

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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.