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Finding the Fourth Proportional to 116.13, 173.82 and 70.33

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Solution

The fourth proportional to 116.13, 173.82 and 70.33 is: 105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.13 : 173.82 = 70.33 : x
  2. Step 2: Convert to fraction form
    116.13/173.82 = 70.33/x
  3. Step 3: Cross multiply
    116.13x = 173.82 × 70.33
  4. Step 4: Simplify right side
    116.13x = 12,224.59
  5. Step 5: Solve for x
    x = 12,224.59/116.13
  6. Step 6: Final answer
    x = 105.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.