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Finding the Fourth Proportional to 80.76, 120.47 and 72.04

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Solution

The fourth proportional to 80.76, 120.47 and 72.04 is: 107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.76 : 120.47 = 72.04 : x
  2. Step 2: Convert to fraction form
    80.76/120.47 = 72.04/x
  3. Step 3: Cross multiply
    80.76x = 120.47 × 72.04
  4. Step 4: Simplify right side
    80.76x = 8,678.66
  5. Step 5: Solve for x
    x = 8,678.66/80.76
  6. Step 6: Final answer
    x = 107.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.