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Finding the Fourth Proportional to 123.78, 184.67 and 117.70

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Solution

The fourth proportional to 123.78, 184.67 and 117.70 is: 175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.78 : 184.67 = 117.70 : x
  2. Step 2: Convert to fraction form
    123.78/184.67 = 117.70/x
  3. Step 3: Cross multiply
    123.78x = 184.67 × 117.70
  4. Step 4: Simplify right side
    123.78x = 21,735.07
  5. Step 5: Solve for x
    x = 21,735.07/123.78
  6. Step 6: Final answer
    x = 175.59

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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.