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Finding the Fourth Proportional to 77,644, 116,466 and 19,276

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Solution

The fourth proportional to 77,644, 116,466 and 19,276 is: 28,914

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,644 : 116,466 = 19,276 : x
  2. Step 2: Convert to fraction form
    77,644/116,466 = 19,276/x
  3. Step 3: Cross multiply
    77,644x = 116,466 × 19,276
  4. Step 4: Simplify right side
    77,644x = 2,244,998,616
  5. Step 5: Solve for x
    x = 2,244,998,616/77,644
  6. Step 6: Final answer
    x = 28,914

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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.