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Finding the Fourth Proportional to 123.24, 185.66 and 114.32

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Solution

The fourth proportional to 123.24, 185.66 and 114.32 is: 172.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.24 : 185.66 = 114.32 : x
  2. Step 2: Convert to fraction form
    123.24/185.66 = 114.32/x
  3. Step 3: Cross multiply
    123.24x = 185.66 × 114.32
  4. Step 4: Simplify right side
    123.24x = 21,224.65
  5. Step 5: Solve for x
    x = 21,224.65/123.24
  6. Step 6: Final answer
    x = 172.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.