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Finding the Fourth Proportional to 51,853.50, 77,791.77 and 19,021.50

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Solution

The fourth proportional to 51,853.50, 77,791.77 and 19,021.50 is: 28,536.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,853.50 : 77,791.77 = 19,021.50 : x
  2. Step 2: Convert to fraction form
    51,853.50/77,791.77 = 19,021.50/x
  3. Step 3: Cross multiply
    51,853.50x = 77,791.77 × 19,021.50
  4. Step 4: Simplify right side
    51,853.50x = 1,479,716,153.06
  5. Step 5: Solve for x
    x = 1,479,716,153.06/51,853.50
  6. Step 6: Final answer
    x = 28,536.48

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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.