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Finding the Fourth Proportional to 129.49, 178.95 and 106.14

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Solution

The fourth proportional to 129.49, 178.95 and 106.14 is: 146.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.49 : 178.95 = 106.14 : x
  2. Step 2: Convert to fraction form
    129.49/178.95 = 106.14/x
  3. Step 3: Cross multiply
    129.49x = 178.95 × 106.14
  4. Step 4: Simplify right side
    129.49x = 18,992.88
  5. Step 5: Solve for x
    x = 18,992.88/129.49
  6. Step 6: Final answer
    x = 146.68

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