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Finding the Fourth Proportional to 123.30, 169.37 and 101.46

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Solution

The fourth proportional to 123.30, 169.37 and 101.46 is: 139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.30 : 169.37 = 101.46 : x
  2. Step 2: Convert to fraction form
    123.30/169.37 = 101.46/x
  3. Step 3: Cross multiply
    123.30x = 169.37 × 101.46
  4. Step 4: Simplify right side
    123.30x = 17,183.77
  5. Step 5: Solve for x
    x = 17,183.77/123.30
  6. Step 6: Final answer
    x = 139.37

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.