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Finding the Fourth Proportional to 141,072.98, 194,672.97 and 77,405.78

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Solution

The fourth proportional to 141,072.98, 194,672.97 and 77,405.78 is: 106,815.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,072.98 : 194,672.97 = 77,405.78 : x
  2. Step 2: Convert to fraction form
    141,072.98/194,672.97 = 77,405.78/x
  3. Step 3: Cross multiply
    141,072.98x = 194,672.97 × 77,405.78
  4. Step 4: Simplify right side
    141,072.98x = 15,068,813,087.77
  5. Step 5: Solve for x
    x = 15,068,813,087.77/141,072.98
  6. Step 6: Final answer
    x = 106,815.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.