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Finding the Fourth Proportional to 104.72, 157.14 and 94.64

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Solution

The fourth proportional to 104.72, 157.14 and 94.64 is: 142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.72 : 157.14 = 94.64 : x
  2. Step 2: Convert to fraction form
    104.72/157.14 = 94.64/x
  3. Step 3: Cross multiply
    104.72x = 157.14 × 94.64
  4. Step 4: Simplify right side
    104.72x = 14,871.73
  5. Step 5: Solve for x
    x = 14,871.73/104.72
  6. Step 6: Final answer
    x = 142.01

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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.