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Finding the Fourth Proportional to 123.58, 184.08 and 119.22

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Solution

The fourth proportional to 123.58, 184.08 and 119.22 is: 177.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.58 : 184.08 = 119.22 : x
  2. Step 2: Convert to fraction form
    123.58/184.08 = 119.22/x
  3. Step 3: Cross multiply
    123.58x = 184.08 × 119.22
  4. Step 4: Simplify right side
    123.58x = 21,946.02
  5. Step 5: Solve for x
    x = 21,946.02/123.58
  6. Step 6: Final answer
    x = 177.59

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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.