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Finding the Fourth Proportional to 137.23, 189.41 and 78.25

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Solution

The fourth proportional to 137.23, 189.41 and 78.25 is: 108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.23 : 189.41 = 78.25 : x
  2. Step 2: Convert to fraction form
    137.23/189.41 = 78.25/x
  3. Step 3: Cross multiply
    137.23x = 189.41 × 78.25
  4. Step 4: Simplify right side
    137.23x = 14,821.33
  5. Step 5: Solve for x
    x = 14,821.33/137.23
  6. Step 6: Final answer
    x = 108.00

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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.