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Finding the Fourth Proportional to 123.35, 169.16 and 118.38

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Solution

The fourth proportional to 123.35, 169.16 and 118.38 is: 162.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.35 : 169.16 = 118.38 : x
  2. Step 2: Convert to fraction form
    123.35/169.16 = 118.38/x
  3. Step 3: Cross multiply
    123.35x = 169.16 × 118.38
  4. Step 4: Simplify right side
    123.35x = 20,025.46
  5. Step 5: Solve for x
    x = 20,025.46/123.35
  6. Step 6: Final answer
    x = 162.35

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.