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Finding the Fourth Proportional to 126.03, 188.83 and 89.89

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Solution

The fourth proportional to 126.03, 188.83 and 89.89 is: 134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.03 : 188.83 = 89.89 : x
  2. Step 2: Convert to fraction form
    126.03/188.83 = 89.89/x
  3. Step 3: Cross multiply
    126.03x = 188.83 × 89.89
  4. Step 4: Simplify right side
    126.03x = 16,973.93
  5. Step 5: Solve for x
    x = 16,973.93/126.03
  6. Step 6: Final answer
    x = 134.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.