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Finding the Fourth Proportional to 119.15, 177.50 and 111.68

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Solution

The fourth proportional to 119.15, 177.50 and 111.68 is: 166.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.15 : 177.50 = 111.68 : x
  2. Step 2: Convert to fraction form
    119.15/177.50 = 111.68/x
  3. Step 3: Cross multiply
    119.15x = 177.50 × 111.68
  4. Step 4: Simplify right side
    119.15x = 19,823.50
  5. Step 5: Solve for x
    x = 19,823.50/119.15
  6. Step 6: Final answer
    x = 166.37

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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.