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Finding the Fourth Proportional to 137.79, 189.81 and 105.03

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Solution

The fourth proportional to 137.79, 189.81 and 105.03 is: 144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.79 : 189.81 = 105.03 : x
  2. Step 2: Convert to fraction form
    137.79/189.81 = 105.03/x
  3. Step 3: Cross multiply
    137.79x = 189.81 × 105.03
  4. Step 4: Simplify right side
    137.79x = 19,935.74
  5. Step 5: Solve for x
    x = 19,935.74/137.79
  6. Step 6: Final answer
    x = 144.68

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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.