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Finding the Fourth Proportional to 124.57, 185.56 and 117.73

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Solution

The fourth proportional to 124.57, 185.56 and 117.73 is: 175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.57 : 185.56 = 117.73 : x
  2. Step 2: Convert to fraction form
    124.57/185.56 = 117.73/x
  3. Step 3: Cross multiply
    124.57x = 185.56 × 117.73
  4. Step 4: Simplify right side
    124.57x = 21,845.98
  5. Step 5: Solve for x
    x = 21,845.98/124.57
  6. Step 6: Final answer
    x = 175.37

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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.