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Finding the Fourth Proportional to 137.02, 189.07 and 81.77

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Solution

The fourth proportional to 137.02, 189.07 and 81.77 is: 112.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.02 : 189.07 = 81.77 : x
  2. Step 2: Convert to fraction form
    137.02/189.07 = 81.77/x
  3. Step 3: Cross multiply
    137.02x = 189.07 × 81.77
  4. Step 4: Simplify right side
    137.02x = 15,460.25
  5. Step 5: Solve for x
    x = 15,460.25/137.02
  6. Step 6: Final answer
    x = 112.83

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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.