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Finding the Fourth Proportional to 78.91, 108.89 and 47.84

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Solution

The fourth proportional to 78.91, 108.89 and 47.84 is: 66.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.91 : 108.89 = 47.84 : x
  2. Step 2: Convert to fraction form
    78.91/108.89 = 47.84/x
  3. Step 3: Cross multiply
    78.91x = 108.89 × 47.84
  4. Step 4: Simplify right side
    78.91x = 5,208.51
  5. Step 5: Solve for x
    x = 5,208.51/78.91
  6. Step 6: Final answer
    x = 66.01

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