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Finding the Fourth Proportional to 137.50, 189.73 and 90.89

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Solution

The fourth proportional to 137.50, 189.73 and 90.89 is: 125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.50 : 189.73 = 90.89 : x
  2. Step 2: Convert to fraction form
    137.50/189.73 = 90.89/x
  3. Step 3: Cross multiply
    137.50x = 189.73 × 90.89
  4. Step 4: Simplify right side
    137.50x = 17,243.92
  5. Step 5: Solve for x
    x = 17,243.92/137.50
  6. Step 6: Final answer
    x = 125.41

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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.