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Finding the Fourth Proportional to 117.99, 161.69 and 117.81

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Solution

The fourth proportional to 117.99, 161.69 and 117.81 is: 161.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.99 : 161.69 = 117.81 : x
  2. Step 2: Convert to fraction form
    117.99/161.69 = 117.81/x
  3. Step 3: Cross multiply
    117.99x = 161.69 × 117.81
  4. Step 4: Simplify right side
    117.99x = 19,048.11
  5. Step 5: Solve for x
    x = 19,048.11/117.99
  6. Step 6: Final answer
    x = 161.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.