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Finding the Fourth Proportional to 119.61, 178.43 and 105.66

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Solution

The fourth proportional to 119.61, 178.43 and 105.66 is: 157.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.61 : 178.43 = 105.66 : x
  2. Step 2: Convert to fraction form
    119.61/178.43 = 105.66/x
  3. Step 3: Cross multiply
    119.61x = 178.43 × 105.66
  4. Step 4: Simplify right side
    119.61x = 18,852.39
  5. Step 5: Solve for x
    x = 18,852.39/119.61
  6. Step 6: Final answer
    x = 157.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.