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Finding the Fourth Proportional to 77,646, 116,469 and 19,278

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Solution

The fourth proportional to 77,646, 116,469 and 19,278 is: 28,917

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,646 : 116,469 = 19,278 : x
  2. Step 2: Convert to fraction form
    77,646/116,469 = 19,278/x
  3. Step 3: Cross multiply
    77,646x = 116,469 × 19,278
  4. Step 4: Simplify right side
    77,646x = 2,245,289,382
  5. Step 5: Solve for x
    x = 2,245,289,382/77,646
  6. Step 6: Final answer
    x = 28,917

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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.