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Finding the Fourth Proportional to 169.50, 234.02 and 123.06

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Solution

The fourth proportional to 169.50, 234.02 and 123.06 is: 169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.50 : 234.02 = 123.06 : x
  2. Step 2: Convert to fraction form
    169.50/234.02 = 123.06/x
  3. Step 3: Cross multiply
    169.50x = 234.02 × 123.06
  4. Step 4: Simplify right side
    169.50x = 28,798.50
  5. Step 5: Solve for x
    x = 28,798.50/169.50
  6. Step 6: Final answer
    x = 169.90

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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.