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Finding the Fourth Proportional to 77,022, 115,533 and 27,774

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Solution

The fourth proportional to 77,022, 115,533 and 27,774 is: 41,661

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,022 : 115,533 = 27,774 : x
  2. Step 2: Convert to fraction form
    77,022/115,533 = 27,774/x
  3. Step 3: Cross multiply
    77,022x = 115,533 × 27,774
  4. Step 4: Simplify right side
    77,022x = 3,208,813,542
  5. Step 5: Solve for x
    x = 3,208,813,542/77,022
  6. Step 6: Final answer
    x = 41,661

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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.