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Finding the Fourth Proportional to 123.21, 185.63 and 107.91

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Solution

The fourth proportional to 123.21, 185.63 and 107.91 is: 162.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.21 : 185.63 = 107.91 : x
  2. Step 2: Convert to fraction form
    123.21/185.63 = 107.91/x
  3. Step 3: Cross multiply
    123.21x = 185.63 × 107.91
  4. Step 4: Simplify right side
    123.21x = 20,030.79
  5. Step 5: Solve for x
    x = 20,030.79/123.21
  6. Step 6: Final answer
    x = 162.57

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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.