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Finding the Fourth Proportional to 77.93, 107.60 and 54.65

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Solution

The fourth proportional to 77.93, 107.60 and 54.65 is: 75.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.93 : 107.60 = 54.65 : x
  2. Step 2: Convert to fraction form
    77.93/107.60 = 54.65/x
  3. Step 3: Cross multiply
    77.93x = 107.60 × 54.65
  4. Step 4: Simplify right side
    77.93x = 5,880.34
  5. Step 5: Solve for x
    x = 5,880.34/77.93
  6. Step 6: Final answer
    x = 75.46

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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.