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Finding the Fourth Proportional to 125.03, 186.58 and 111.39

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Solution

The fourth proportional to 125.03, 186.58 and 111.39 is: 166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.03 : 186.58 = 111.39 : x
  2. Step 2: Convert to fraction form
    125.03/186.58 = 111.39/x
  3. Step 3: Cross multiply
    125.03x = 186.58 × 111.39
  4. Step 4: Simplify right side
    125.03x = 20,783.67
  5. Step 5: Solve for x
    x = 20,783.67/125.03
  6. Step 6: Final answer
    x = 166.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.