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Finding the Fourth Proportional to 117.03, 161.48 and 72.78

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Solution

The fourth proportional to 117.03, 161.48 and 72.78 is: 100.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.03 : 161.48 = 72.78 : x
  2. Step 2: Convert to fraction form
    117.03/161.48 = 72.78/x
  3. Step 3: Cross multiply
    117.03x = 161.48 × 72.78
  4. Step 4: Simplify right side
    117.03x = 11,751.85
  5. Step 5: Solve for x
    x = 11,751.85/117.03
  6. Step 6: Final answer
    x = 100.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.