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Finding the Fourth Proportional to 94.21, 141.99 and 89.83

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Solution

The fourth proportional to 94.21, 141.99 and 89.83 is: 135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.21 : 141.99 = 89.83 : x
  2. Step 2: Convert to fraction form
    94.21/141.99 = 89.83/x
  3. Step 3: Cross multiply
    94.21x = 141.99 × 89.83
  4. Step 4: Simplify right side
    94.21x = 12,754.96
  5. Step 5: Solve for x
    x = 12,754.96/94.21
  6. Step 6: Final answer
    x = 135.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.