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Finding the Fourth Proportional to 126.58, 188.91 and 123.34

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Solution

The fourth proportional to 126.58, 188.91 and 123.34 is: 184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126.58 : 188.91 = 123.34 : x
  2. Step 2: Convert to fraction form
    126.58/188.91 = 123.34/x
  3. Step 3: Cross multiply
    126.58x = 188.91 × 123.34
  4. Step 4: Simplify right side
    126.58x = 23,300.16
  5. Step 5: Solve for x
    x = 23,300.16/126.58
  6. Step 6: Final answer
    x = 184.07

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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.