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Finding the Fourth Proportional to 72.78, 108.75 and 71.49

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Solution

The fourth proportional to 72.78, 108.75 and 71.49 is: 106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.78 : 108.75 = 71.49 : x
  2. Step 2: Convert to fraction form
    72.78/108.75 = 71.49/x
  3. Step 3: Cross multiply
    72.78x = 108.75 × 71.49
  4. Step 4: Simplify right side
    72.78x = 7,774.54
  5. Step 5: Solve for x
    x = 7,774.54/72.78
  6. Step 6: Final answer
    x = 106.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.