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Finding the Fourth Proportional to 72.24, 108.42 and 47.80

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Solution

The fourth proportional to 72.24, 108.42 and 47.80 is: 71.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.24 : 108.42 = 47.80 : x
  2. Step 2: Convert to fraction form
    72.24/108.42 = 47.80/x
  3. Step 3: Cross multiply
    72.24x = 108.42 × 47.80
  4. Step 4: Simplify right side
    72.24x = 5,182.38
  5. Step 5: Solve for x
    x = 5,182.38/72.24
  6. Step 6: Final answer
    x = 71.74

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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.