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Finding the Fourth Proportional to 77,015, 115,522.50 and 27,767

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Solution

The fourth proportional to 77,015, 115,522.50 and 27,767 is: 41,650.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,015 : 115,522.50 = 27,767 : x
  2. Step 2: Convert to fraction form
    77,015/115,522.50 = 27,767/x
  3. Step 3: Cross multiply
    77,015x = 115,522.50 × 27,767
  4. Step 4: Simplify right side
    77,015x = 3,207,713,257.50
  5. Step 5: Solve for x
    x = 3,207,713,257.50/77,015
  6. Step 6: Final answer
    x = 41,650.50

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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.