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Finding the Fourth Proportional to 116.74, 161.19 and 100.34

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Solution

The fourth proportional to 116.74, 161.19 and 100.34 is: 138.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.74 : 161.19 = 100.34 : x
  2. Step 2: Convert to fraction form
    116.74/161.19 = 100.34/x
  3. Step 3: Cross multiply
    116.74x = 161.19 × 100.34
  4. Step 4: Simplify right side
    116.74x = 16,173.60
  5. Step 5: Solve for x
    x = 16,173.60/116.74
  6. Step 6: Final answer
    x = 138.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.