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Finding the Fourth Proportional to 137.02, 189.06 and 81.76

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Solution

The fourth proportional to 137.02, 189.06 and 81.76 is: 112.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.02 : 189.06 = 81.76 : x
  2. Step 2: Convert to fraction form
    137.02/189.06 = 81.76/x
  3. Step 3: Cross multiply
    137.02x = 189.06 × 81.76
  4. Step 4: Simplify right side
    137.02x = 15,457.55
  5. Step 5: Solve for x
    x = 15,457.55/137.02
  6. Step 6: Final answer
    x = 112.81

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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.