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Finding the Fourth Proportional to 137.51, 189.75 and 78.50

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Solution

The fourth proportional to 137.51, 189.75 and 78.50 is: 108.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.51 : 189.75 = 78.50 : x
  2. Step 2: Convert to fraction form
    137.51/189.75 = 78.50/x
  3. Step 3: Cross multiply
    137.51x = 189.75 × 78.50
  4. Step 4: Simplify right side
    137.51x = 14,896.14
  5. Step 5: Solve for x
    x = 14,896.14/137.51
  6. Step 6: Final answer
    x = 108.33

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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.