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Finding the Fourth Proportional to 72, 108.60 and 71.16

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Solution

The fourth proportional to 72, 108.60 and 71.16 is: 107.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72 : 108.60 = 71.16 : x
  2. Step 2: Convert to fraction form
    72/108.60 = 71.16/x
  3. Step 3: Cross multiply
    72x = 108.60 × 71.16
  4. Step 4: Simplify right side
    72x = 7,727.98
  5. Step 5: Solve for x
    x = 7,727.98/72
  6. Step 6: Final answer
    x = 107.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.