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Finding the Fourth Proportional to 78.77, 108.07 and 67.84

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Solution

The fourth proportional to 78.77, 108.07 and 67.84 is: 93.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.77 : 108.07 = 67.84 : x
  2. Step 2: Convert to fraction form
    78.77/108.07 = 67.84/x
  3. Step 3: Cross multiply
    78.77x = 108.07 × 67.84
  4. Step 4: Simplify right side
    78.77x = 7,331.03
  5. Step 5: Solve for x
    x = 7,331.03/78.77
  6. Step 6: Final answer
    x = 93.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.