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Finding the Fourth Proportional to 99.53, 149.07 and 81.41

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Solution

The fourth proportional to 99.53, 149.07 and 81.41 is: 121.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.53 : 149.07 = 81.41 : x
  2. Step 2: Convert to fraction form
    99.53/149.07 = 81.41/x
  3. Step 3: Cross multiply
    99.53x = 149.07 × 81.41
  4. Step 4: Simplify right side
    99.53x = 12,135.79
  5. Step 5: Solve for x
    x = 12,135.79/99.53
  6. Step 6: Final answer
    x = 121.93

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Why These Related Problems?

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