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Finding the Fourth Proportional to 123.85, 185.74 and 46.82

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Solution

The fourth proportional to 123.85, 185.74 and 46.82 is: 70.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.85 : 185.74 = 46.82 : x
  2. Step 2: Convert to fraction form
    123.85/185.74 = 46.82/x
  3. Step 3: Cross multiply
    123.85x = 185.74 × 46.82
  4. Step 4: Simplify right side
    123.85x = 8,696.11
  5. Step 5: Solve for x
    x = 8,696.11/123.85
  6. Step 6: Final answer
    x = 70.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.