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Finding the Fourth Proportional to 123.10, 168.64 and 118.48

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Solution

The fourth proportional to 123.10, 168.64 and 118.48 is: 162.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.10 : 168.64 = 118.48 : x
  2. Step 2: Convert to fraction form
    123.10/168.64 = 118.48/x
  3. Step 3: Cross multiply
    123.10x = 168.64 × 118.48
  4. Step 4: Simplify right side
    123.10x = 19,980.40
  5. Step 5: Solve for x
    x = 19,980.40/123.10
  6. Step 6: Final answer
    x = 162.32

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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.