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Finding the Fourth Proportional to 123.50, 186.35 and 116.48

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Solution

The fourth proportional to 123.50, 186.35 and 116.48 is: 175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.50 : 186.35 = 116.48 : x
  2. Step 2: Convert to fraction form
    123.50/186.35 = 116.48/x
  3. Step 3: Cross multiply
    123.50x = 186.35 × 116.48
  4. Step 4: Simplify right side
    123.50x = 21,706.05
  5. Step 5: Solve for x
    x = 21,706.05/123.50
  6. Step 6: Final answer
    x = 175.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.