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Finding the Fourth Proportional to 123.57, 184.64 and 119.25

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Solution

The fourth proportional to 123.57, 184.64 and 119.25 is: 178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.57 : 184.64 = 119.25 : x
  2. Step 2: Convert to fraction form
    123.57/184.64 = 119.25/x
  3. Step 3: Cross multiply
    123.57x = 184.64 × 119.25
  4. Step 4: Simplify right side
    123.57x = 22,017.72
  5. Step 5: Solve for x
    x = 22,017.72/123.57
  6. Step 6: Final answer
    x = 178.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.