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Finding the Fourth Proportional to 116, 172.68 and 112.96

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Solution

The fourth proportional to 116, 172.68 and 112.96 is: 168.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    116 : 172.68 = 112.96 : x
  2. Step 2: Convert to fraction form
    116/172.68 = 112.96/x
  3. Step 3: Cross multiply
    116x = 172.68 × 112.96
  4. Step 4: Simplify right side
    116x = 19,505.93
  5. Step 5: Solve for x
    x = 19,505.93/116
  6. Step 6: Final answer
    x = 168.15

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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.