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Finding the Fourth Proportional to 77,420, 116,149.50 and 22,016

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Solution

The fourth proportional to 77,420, 116,149.50 and 22,016 is: 33,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,420 : 116,149.50 = 22,016 : x
  2. Step 2: Convert to fraction form
    77,420/116,149.50 = 22,016/x
  3. Step 3: Cross multiply
    77,420x = 116,149.50 × 22,016
  4. Step 4: Simplify right side
    77,420x = 2,557,147,392
  5. Step 5: Solve for x
    x = 2,557,147,392/77,420
  6. Step 6: Final answer
    x = 33,029.55

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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.