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Finding the Fourth Proportional to 115,491, 173,236.50 and 27,939

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Solution

The fourth proportional to 115,491, 173,236.50 and 27,939 is: 41,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,491 : 173,236.50 = 27,939 : x
  2. Step 2: Convert to fraction form
    115,491/173,236.50 = 27,939/x
  3. Step 3: Cross multiply
    115,491x = 173,236.50 × 27,939
  4. Step 4: Simplify right side
    115,491x = 4,840,054,573.50
  5. Step 5: Solve for x
    x = 4,840,054,573.50/115,491
  6. Step 6: Final answer
    x = 41,908.50

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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.