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Finding the Fourth Proportional to 72.85, 108.53 and 68.19

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Solution

The fourth proportional to 72.85, 108.53 and 68.19 is: 101.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.85 : 108.53 = 68.19 : x
  2. Step 2: Convert to fraction form
    72.85/108.53 = 68.19/x
  3. Step 3: Cross multiply
    72.85x = 108.53 × 68.19
  4. Step 4: Simplify right side
    72.85x = 7,400.66
  5. Step 5: Solve for x
    x = 7,400.66/72.85
  6. Step 6: Final answer
    x = 101.59

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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.