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Finding the Fourth Proportional to 72.63, 108.94 and 31.49

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Solution

The fourth proportional to 72.63, 108.94 and 31.49 is: 47.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.63 : 108.94 = 31.49 : x
  2. Step 2: Convert to fraction form
    72.63/108.94 = 31.49/x
  3. Step 3: Cross multiply
    72.63x = 108.94 × 31.49
  4. Step 4: Simplify right side
    72.63x = 3,430.52
  5. Step 5: Solve for x
    x = 3,430.52/72.63
  6. Step 6: Final answer
    x = 47.23

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Why These Related Problems?

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