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Finding the Fourth Proportional to 72.54, 108.72 and 38.34

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Solution

The fourth proportional to 72.54, 108.72 and 38.34 is: 57.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.54 : 108.72 = 38.34 : x
  2. Step 2: Convert to fraction form
    72.54/108.72 = 38.34/x
  3. Step 3: Cross multiply
    72.54x = 108.72 × 38.34
  4. Step 4: Simplify right side
    72.54x = 4,168.32
  5. Step 5: Solve for x
    x = 4,168.32/72.54
  6. Step 6: Final answer
    x = 57.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.