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Finding the Fourth Proportional to 124.67, 185.78 and 124.06

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Solution

The fourth proportional to 124.67, 185.78 and 124.06 is: 184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.67 : 185.78 = 124.06 : x
  2. Step 2: Convert to fraction form
    124.67/185.78 = 124.06/x
  3. Step 3: Cross multiply
    124.67x = 185.78 × 124.06
  4. Step 4: Simplify right side
    124.67x = 23,047.87
  5. Step 5: Solve for x
    x = 23,047.87/124.67
  6. Step 6: Final answer
    x = 184.87

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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.