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Finding the Fourth Proportional to 129.03, 178.07 and 92.19

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Solution

The fourth proportional to 129.03, 178.07 and 92.19 is: 127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.03 : 178.07 = 92.19 : x
  2. Step 2: Convert to fraction form
    129.03/178.07 = 92.19/x
  3. Step 3: Cross multiply
    129.03x = 178.07 × 92.19
  4. Step 4: Simplify right side
    129.03x = 16,415.81
  5. Step 5: Solve for x
    x = 16,415.81/129.03
  6. Step 6: Final answer
    x = 127.22

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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.