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Finding the Fourth Proportional to 116.56, 161.50 and 103.60

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Solution

The fourth proportional to 116.56, 161.50 and 103.60 is: 143.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.56 : 161.50 = 103.60 : x
  2. Step 2: Convert to fraction form
    116.56/161.50 = 103.60/x
  3. Step 3: Cross multiply
    116.56x = 161.50 × 103.60
  4. Step 4: Simplify right side
    116.56x = 16,731.40
  5. Step 5: Solve for x
    x = 16,731.40/116.56
  6. Step 6: Final answer
    x = 143.54

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.