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Finding the Fourth Proportional to 137.72, 190.12 and 88.63

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Solution

The fourth proportional to 137.72, 190.12 and 88.63 is: 122.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.72 : 190.12 = 88.63 : x
  2. Step 2: Convert to fraction form
    137.72/190.12 = 88.63/x
  3. Step 3: Cross multiply
    137.72x = 190.12 × 88.63
  4. Step 4: Simplify right side
    137.72x = 16,848.94
  5. Step 5: Solve for x
    x = 16,848.94/137.72
  6. Step 6: Final answer
    x = 122.34

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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.