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Finding the Fourth Proportional to 123.76, 184.30 and 120.93

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Solution

The fourth proportional to 123.76, 184.30 and 120.93 is: 180.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.76 : 184.30 = 120.93 : x
  2. Step 2: Convert to fraction form
    123.76/184.30 = 120.93/x
  3. Step 3: Cross multiply
    123.76x = 184.30 × 120.93
  4. Step 4: Simplify right side
    123.76x = 22,287.40
  5. Step 5: Solve for x
    x = 22,287.40/123.76
  6. Step 6: Final answer
    x = 180.09

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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.