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Finding the Fourth Proportional to 137.66, 189.93 and 94.04

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Solution

The fourth proportional to 137.66, 189.93 and 94.04 is: 129.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.66 : 189.93 = 94.04 : x
  2. Step 2: Convert to fraction form
    137.66/189.93 = 94.04/x
  3. Step 3: Cross multiply
    137.66x = 189.93 × 94.04
  4. Step 4: Simplify right side
    137.66x = 17,861.02
  5. Step 5: Solve for x
    x = 17,861.02/137.66
  6. Step 6: Final answer
    x = 129.75

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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.