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Finding the Fourth Proportional to 100.14, 137.94 and 94.08

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Solution

The fourth proportional to 100.14, 137.94 and 94.08 is: 129.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.14 : 137.94 = 94.08 : x
  2. Step 2: Convert to fraction form
    100.14/137.94 = 94.08/x
  3. Step 3: Cross multiply
    100.14x = 137.94 × 94.08
  4. Step 4: Simplify right side
    100.14x = 12,977.40
  5. Step 5: Solve for x
    x = 12,977.40/100.14
  6. Step 6: Final answer
    x = 129.59

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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.