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Finding the Fourth Proportional to 208,162, 312,243 and 76,834

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Solution

The fourth proportional to 208,162, 312,243 and 76,834 is: 115,251

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,162 : 312,243 = 76,834 : x
  2. Step 2: Convert to fraction form
    208,162/312,243 = 76,834/x
  3. Step 3: Cross multiply
    208,162x = 312,243 × 76,834
  4. Step 4: Simplify right side
    208,162x = 23,990,878,662
  5. Step 5: Solve for x
    x = 23,990,878,662/208,162
  6. Step 6: Final answer
    x = 115,251

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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.