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Finding the Fourth Proportional to 144.88, 200.01 and 123.01

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Solution

The fourth proportional to 144.88, 200.01 and 123.01 is: 169.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.88 : 200.01 = 123.01 : x
  2. Step 2: Convert to fraction form
    144.88/200.01 = 123.01/x
  3. Step 3: Cross multiply
    144.88x = 200.01 × 123.01
  4. Step 4: Simplify right side
    144.88x = 24,603.23
  5. Step 5: Solve for x
    x = 24,603.23/144.88
  6. Step 6: Final answer
    x = 169.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.