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Finding the Fourth Proportional to 72.81, 109.71 and 71.19

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Solution

The fourth proportional to 72.81, 109.71 and 71.19 is: 107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.81 : 109.71 = 71.19 : x
  2. Step 2: Convert to fraction form
    72.81/109.71 = 71.19/x
  3. Step 3: Cross multiply
    72.81x = 109.71 × 71.19
  4. Step 4: Simplify right side
    72.81x = 7,810.25
  5. Step 5: Solve for x
    x = 7,810.25/72.81
  6. Step 6: Final answer
    x = 107.27

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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.