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Finding the Fourth Proportional to 124.63, 171.24 and 116.63

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Solution

The fourth proportional to 124.63, 171.24 and 116.63 is: 160.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.63 : 171.24 = 116.63 : x
  2. Step 2: Convert to fraction form
    124.63/171.24 = 116.63/x
  3. Step 3: Cross multiply
    124.63x = 171.24 × 116.63
  4. Step 4: Simplify right side
    124.63x = 19,972.27
  5. Step 5: Solve for x
    x = 19,972.27/124.63
  6. Step 6: Final answer
    x = 160.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.