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Finding the Fourth Proportional to 125.36, 188.94 and 118.64

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Solution

The fourth proportional to 125.36, 188.94 and 118.64 is: 178.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.36 : 188.94 = 118.64 : x
  2. Step 2: Convert to fraction form
    125.36/188.94 = 118.64/x
  3. Step 3: Cross multiply
    125.36x = 188.94 × 118.64
  4. Step 4: Simplify right side
    125.36x = 22,415.84
  5. Step 5: Solve for x
    x = 22,415.84/125.36
  6. Step 6: Final answer
    x = 178.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.