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Finding the Fourth Proportional to 51,378, 77,067 and 14,442

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Solution

The fourth proportional to 51,378, 77,067 and 14,442 is: 21,663

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,378 : 77,067 = 14,442 : x
  2. Step 2: Convert to fraction form
    51,378/77,067 = 14,442/x
  3. Step 3: Cross multiply
    51,378x = 77,067 × 14,442
  4. Step 4: Simplify right side
    51,378x = 1,113,001,614
  5. Step 5: Solve for x
    x = 1,113,001,614/51,378
  6. Step 6: Final answer
    x = 21,663

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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.