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Finding the Fourth Proportional to 137.90, 190.29 and 75.73

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Solution

The fourth proportional to 137.90, 190.29 and 75.73 is: 104.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.90 : 190.29 = 75.73 : x
  2. Step 2: Convert to fraction form
    137.90/190.29 = 75.73/x
  3. Step 3: Cross multiply
    137.90x = 190.29 × 75.73
  4. Step 4: Simplify right side
    137.90x = 14,409.71
  5. Step 5: Solve for x
    x = 14,409.71/137.90
  6. Step 6: Final answer
    x = 104.49

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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.