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Finding the Fourth Proportional to 129.45, 193.74 and 98.84

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Solution

The fourth proportional to 129.45, 193.74 and 98.84 is: 147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.45 : 193.74 = 98.84 : x
  2. Step 2: Convert to fraction form
    129.45/193.74 = 98.84/x
  3. Step 3: Cross multiply
    129.45x = 193.74 × 98.84
  4. Step 4: Simplify right side
    129.45x = 19,149.26
  5. Step 5: Solve for x
    x = 19,149.26/129.45
  6. Step 6: Final answer
    x = 147.93

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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.