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Finding the Fourth Proportional to 137.33, 189.54 and 93.72

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Solution

The fourth proportional to 137.33, 189.54 and 93.72 is: 129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.33 : 189.54 = 93.72 : x
  2. Step 2: Convert to fraction form
    137.33/189.54 = 93.72/x
  3. Step 3: Cross multiply
    137.33x = 189.54 × 93.72
  4. Step 4: Simplify right side
    137.33x = 17,763.69
  5. Step 5: Solve for x
    x = 17,763.69/137.33
  6. Step 6: Final answer
    x = 129.36

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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.