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Finding the Fourth Proportional to 117.78, 161.55 and 110.79

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Solution

The fourth proportional to 117.78, 161.55 and 110.79 is: 151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.78 : 161.55 = 110.79 : x
  2. Step 2: Convert to fraction form
    117.78/161.55 = 110.79/x
  3. Step 3: Cross multiply
    117.78x = 161.55 × 110.79
  4. Step 4: Simplify right side
    117.78x = 17,898.12
  5. Step 5: Solve for x
    x = 17,898.12/117.78
  6. Step 6: Final answer
    x = 151.96

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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.