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Finding the Fourth Proportional to 77,642, 116,463 and 19,274

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Solution

The fourth proportional to 77,642, 116,463 and 19,274 is: 28,911

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,642 : 116,463 = 19,274 : x
  2. Step 2: Convert to fraction form
    77,642/116,463 = 19,274/x
  3. Step 3: Cross multiply
    77,642x = 116,463 × 19,274
  4. Step 4: Simplify right side
    77,642x = 2,244,707,862
  5. Step 5: Solve for x
    x = 2,244,707,862/77,642
  6. Step 6: Final answer
    x = 28,911

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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.