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Finding the Fourth Proportional to 137.70, 189.81 and 111.51

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Solution

The fourth proportional to 137.70, 189.81 and 111.51 is: 153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.70 : 189.81 = 111.51 : x
  2. Step 2: Convert to fraction form
    137.70/189.81 = 111.51/x
  3. Step 3: Cross multiply
    137.70x = 189.81 × 111.51
  4. Step 4: Simplify right side
    137.70x = 21,165.71
  5. Step 5: Solve for x
    x = 21,165.71/137.70
  6. Step 6: Final answer
    x = 153.71

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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.