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Finding the Fourth Proportional to 116.15, 161.01 and 112.37

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Solution

The fourth proportional to 116.15, 161.01 and 112.37 is: 155.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.15 : 161.01 = 112.37 : x
  2. Step 2: Convert to fraction form
    116.15/161.01 = 112.37/x
  3. Step 3: Cross multiply
    116.15x = 161.01 × 112.37
  4. Step 4: Simplify right side
    116.15x = 18,091.89
  5. Step 5: Solve for x
    x = 18,091.89/116.15
  6. Step 6: Final answer
    x = 155.77

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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.