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Finding the Fourth Proportional to 77,493.60, 116,211.60 and 30,736.80

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Solution

The fourth proportional to 77,493.60, 116,211.60 and 30,736.80 is: 46,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,493.60 : 116,211.60 = 30,736.80 : x
  2. Step 2: Convert to fraction form
    77,493.60/116,211.60 = 30,736.80/x
  3. Step 3: Cross multiply
    77,493.60x = 116,211.60 × 30,736.80
  4. Step 4: Simplify right side
    77,493.60x = 3,571,972,706.88
  5. Step 5: Solve for x
    x = 3,571,972,706.88/77,493.60
  6. Step 6: Final answer
    x = 46,093.78

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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.