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Finding the Fourth Proportional to 124.70, 185.76 and 119.45

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Solution

The fourth proportional to 124.70, 185.76 and 119.45 is: 177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.70 : 185.76 = 119.45 : x
  2. Step 2: Convert to fraction form
    124.70/185.76 = 119.45/x
  3. Step 3: Cross multiply
    124.70x = 185.76 × 119.45
  4. Step 4: Simplify right side
    124.70x = 22,188.10
  5. Step 5: Solve for x
    x = 22,188.10/124.70
  6. Step 6: Final answer
    x = 177.94

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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.