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Finding the Fourth Proportional to 123.95, 184.76 and 120.98

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Solution

The fourth proportional to 123.95, 184.76 and 120.98 is: 180.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.95 : 184.76 = 120.98 : x
  2. Step 2: Convert to fraction form
    123.95/184.76 = 120.98/x
  3. Step 3: Cross multiply
    123.95x = 184.76 × 120.98
  4. Step 4: Simplify right side
    123.95x = 22,350.74
  5. Step 5: Solve for x
    x = 22,350.74/123.95
  6. Step 6: Final answer
    x = 180.33

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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.