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Finding the Fourth Proportional to 169.86, 234.51 and 123.19

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Solution

The fourth proportional to 169.86, 234.51 and 123.19 is: 170.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.86 : 234.51 = 123.19 : x
  2. Step 2: Convert to fraction form
    169.86/234.51 = 123.19/x
  3. Step 3: Cross multiply
    169.86x = 234.51 × 123.19
  4. Step 4: Simplify right side
    169.86x = 28,888.24
  5. Step 5: Solve for x
    x = 28,888.24/169.86
  6. Step 6: Final answer
    x = 170.07

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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.