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Finding the Fourth Proportional to 79.22, 108.72 and 71.93

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Solution

The fourth proportional to 79.22, 108.72 and 71.93 is: 98.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.22 : 108.72 = 71.93 : x
  2. Step 2: Convert to fraction form
    79.22/108.72 = 71.93/x
  3. Step 3: Cross multiply
    79.22x = 108.72 × 71.93
  4. Step 4: Simplify right side
    79.22x = 7,820.23
  5. Step 5: Solve for x
    x = 7,820.23/79.22
  6. Step 6: Final answer
    x = 98.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.