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Finding the Fourth Proportional to 142.65, 196.84 and 123.01

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Solution

The fourth proportional to 142.65, 196.84 and 123.01 is: 169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.65 : 196.84 = 123.01 : x
  2. Step 2: Convert to fraction form
    142.65/196.84 = 123.01/x
  3. Step 3: Cross multiply
    142.65x = 196.84 × 123.01
  4. Step 4: Simplify right side
    142.65x = 24,211.69
  5. Step 5: Solve for x
    x = 24,211.69/142.65
  6. Step 6: Final answer
    x = 169.73

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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.