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Finding the Fourth Proportional to 129.03, 193.29 and 122.47

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Solution

The fourth proportional to 129.03, 193.29 and 122.47 is: 183.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.03 : 193.29 = 122.47 : x
  2. Step 2: Convert to fraction form
    129.03/193.29 = 122.47/x
  3. Step 3: Cross multiply
    129.03x = 193.29 × 122.47
  4. Step 4: Simplify right side
    129.03x = 23,672.23
  5. Step 5: Solve for x
    x = 23,672.23/129.03
  6. Step 6: Final answer
    x = 183.46

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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.