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Finding the Fourth Proportional to 114.65, 172.77 and 94.81

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Solution

The fourth proportional to 114.65, 172.77 and 94.81 is: 142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.65 : 172.77 = 94.81 : x
  2. Step 2: Convert to fraction form
    114.65/172.77 = 94.81/x
  3. Step 3: Cross multiply
    114.65x = 172.77 × 94.81
  4. Step 4: Simplify right side
    114.65x = 16,379.54
  5. Step 5: Solve for x
    x = 16,379.54/114.65
  6. Step 6: Final answer
    x = 142.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.