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Finding the Fourth Proportional to 77,074.78, 115,619.86 and 20,915.78

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Solution

The fourth proportional to 77,074.78, 115,619.86 and 20,915.78 is: 31,375.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,074.78 : 115,619.86 = 20,915.78 : x
  2. Step 2: Convert to fraction form
    77,074.78/115,619.86 = 20,915.78/x
  3. Step 3: Cross multiply
    77,074.78x = 115,619.86 × 20,915.78
  4. Step 4: Simplify right side
    77,074.78x = 2,418,279,555.39
  5. Step 5: Solve for x
    x = 2,418,279,555.39/77,074.78
  6. Step 6: Final answer
    x = 31,375.76

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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.