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Finding the Fourth Proportional to 78.42, 107.96 and 71.58

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Solution

The fourth proportional to 78.42, 107.96 and 71.58 is: 98.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.42 : 107.96 = 71.58 : x
  2. Step 2: Convert to fraction form
    78.42/107.96 = 71.58/x
  3. Step 3: Cross multiply
    78.42x = 107.96 × 71.58
  4. Step 4: Simplify right side
    78.42x = 7,727.42
  5. Step 5: Solve for x
    x = 7,727.42/78.42
  6. Step 6: Final answer
    x = 98.54

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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.