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Finding the Fourth Proportional to 129.36, 193.74 and 75.15

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Solution

The fourth proportional to 129.36, 193.74 and 75.15 is: 112.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.36 : 193.74 = 75.15 : x
  2. Step 2: Convert to fraction form
    129.36/193.74 = 75.15/x
  3. Step 3: Cross multiply
    129.36x = 193.74 × 75.15
  4. Step 4: Simplify right side
    129.36x = 14,559.56
  5. Step 5: Solve for x
    x = 14,559.56/129.36
  6. Step 6: Final answer
    x = 112.55

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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.