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Finding the Fourth Proportional to 119.06, 177.50 and 107.25

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Solution

The fourth proportional to 119.06, 177.50 and 107.25 is: 159.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.06 : 177.50 = 107.25 : x
  2. Step 2: Convert to fraction form
    119.06/177.50 = 107.25/x
  3. Step 3: Cross multiply
    119.06x = 177.50 × 107.25
  4. Step 4: Simplify right side
    119.06x = 19,036.34
  5. Step 5: Solve for x
    x = 19,036.34/119.06
  6. Step 6: Final answer
    x = 159.90

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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.