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Finding the Fourth Proportional to 129.63, 193.73 and 95.48

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Solution

The fourth proportional to 129.63, 193.73 and 95.48 is: 142.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.63 : 193.73 = 95.48 : x
  2. Step 2: Convert to fraction form
    129.63/193.73 = 95.48/x
  3. Step 3: Cross multiply
    129.63x = 193.73 × 95.48
  4. Step 4: Simplify right side
    129.63x = 18,497.34
  5. Step 5: Solve for x
    x = 18,497.34/129.63
  6. Step 6: Final answer
    x = 142.69

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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.