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Finding the Fourth Proportional to 137.82, 190.54 and 105.02

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Solution

The fourth proportional to 137.82, 190.54 and 105.02 is: 145.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.82 : 190.54 = 105.02 : x
  2. Step 2: Convert to fraction form
    137.82/190.54 = 105.02/x
  3. Step 3: Cross multiply
    137.82x = 190.54 × 105.02
  4. Step 4: Simplify right side
    137.82x = 20,010.51
  5. Step 5: Solve for x
    x = 20,010.51/137.82
  6. Step 6: Final answer
    x = 145.19

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Why These Related Problems?

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