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Finding the Fourth Proportional to 137.36, 189.62 and 79.13

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Solution

The fourth proportional to 137.36, 189.62 and 79.13 is: 109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.36 : 189.62 = 79.13 : x
  2. Step 2: Convert to fraction form
    137.36/189.62 = 79.13/x
  3. Step 3: Cross multiply
    137.36x = 189.62 × 79.13
  4. Step 4: Simplify right side
    137.36x = 15,003.29
  5. Step 5: Solve for x
    x = 15,003.29/137.36
  6. Step 6: Final answer
    x = 109.23

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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.