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Finding the Fourth Proportional to 98.42, 147.36 and 67.91

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Solution

The fourth proportional to 98.42, 147.36 and 67.91 is: 101.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.42 : 147.36 = 67.91 : x
  2. Step 2: Convert to fraction form
    98.42/147.36 = 67.91/x
  3. Step 3: Cross multiply
    98.42x = 147.36 × 67.91
  4. Step 4: Simplify right side
    98.42x = 10,007.22
  5. Step 5: Solve for x
    x = 10,007.22/98.42
  6. Step 6: Final answer
    x = 101.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.