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Finding the Fourth Proportional to 129.07, 178.34 and 112.67

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Solution

The fourth proportional to 129.07, 178.34 and 112.67 is: 155.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.07 : 178.34 = 112.67 : x
  2. Step 2: Convert to fraction form
    129.07/178.34 = 112.67/x
  3. Step 3: Cross multiply
    129.07x = 178.34 × 112.67
  4. Step 4: Simplify right side
    129.07x = 20,093.57
  5. Step 5: Solve for x
    x = 20,093.57/129.07
  6. Step 6: Final answer
    x = 155.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.