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Finding the Fourth Proportional to 123.52, 186.19 and 116.56

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Solution

The fourth proportional to 123.52, 186.19 and 116.56 is: 175.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.52 : 186.19 = 116.56 : x
  2. Step 2: Convert to fraction form
    123.52/186.19 = 116.56/x
  3. Step 3: Cross multiply
    123.52x = 186.19 × 116.56
  4. Step 4: Simplify right side
    123.52x = 21,702.31
  5. Step 5: Solve for x
    x = 21,702.31/123.52
  6. Step 6: Final answer
    x = 175.70

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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.