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Finding the Fourth Proportional to 72.03, 108.12 and 37.79

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Solution

The fourth proportional to 72.03, 108.12 and 37.79 is: 56.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.03 : 108.12 = 37.79 : x
  2. Step 2: Convert to fraction form
    72.03/108.12 = 37.79/x
  3. Step 3: Cross multiply
    72.03x = 108.12 × 37.79
  4. Step 4: Simplify right side
    72.03x = 4,085.86
  5. Step 5: Solve for x
    x = 4,085.86/72.03
  6. Step 6: Final answer
    x = 56.72

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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.