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Finding the Fourth Proportional to 139.60, 208.44 and 123

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Solution

The fourth proportional to 139.60, 208.44 and 123 is: 183.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.60 : 208.44 = 123 : x
  2. Step 2: Convert to fraction form
    139.60/208.44 = 123/x
  3. Step 3: Cross multiply
    139.60x = 208.44 × 123
  4. Step 4: Simplify right side
    139.60x = 25,638.12
  5. Step 5: Solve for x
    x = 25,638.12/139.60
  6. Step 6: Final answer
    x = 183.65

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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.