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Finding the Fourth Proportional to 123.97, 185.74 and 85.40

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Solution

The fourth proportional to 123.97, 185.74 and 85.40 is: 127.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.97 : 185.74 = 85.40 : x
  2. Step 2: Convert to fraction form
    123.97/185.74 = 85.40/x
  3. Step 3: Cross multiply
    123.97x = 185.74 × 85.40
  4. Step 4: Simplify right side
    123.97x = 15,862.45
  5. Step 5: Solve for x
    x = 15,862.45/123.97
  6. Step 6: Final answer
    x = 127.96

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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.