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Finding the Fourth Proportional to 105.75, 157.91 and 98.87

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Solution

The fourth proportional to 105.75, 157.91 and 98.87 is: 147.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.75 : 157.91 = 98.87 : x
  2. Step 2: Convert to fraction form
    105.75/157.91 = 98.87/x
  3. Step 3: Cross multiply
    105.75x = 157.91 × 98.87
  4. Step 4: Simplify right side
    105.75x = 15,611.28
  5. Step 5: Solve for x
    x = 15,611.28/105.75
  6. Step 6: Final answer
    x = 147.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.