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Finding the Fourth Proportional to 75,768.78, 113,640.92 and 35,787.70

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Solution

The fourth proportional to 75,768.78, 113,640.92 and 35,787.70 is: 53,675.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,768.78 : 113,640.92 = 35,787.70 : x
  2. Step 2: Convert to fraction form
    75,768.78/113,640.92 = 35,787.70/x
  3. Step 3: Cross multiply
    75,768.78x = 113,640.92 × 35,787.70
  4. Step 4: Simplify right side
    75,768.78x = 4,066,947,152.68
  5. Step 5: Solve for x
    x = 4,066,947,152.68/75,768.78
  6. Step 6: Final answer
    x = 53,675.76

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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.