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Finding the Fourth Proportional to 72.15, 107.97 and 56.83

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Solution

The fourth proportional to 72.15, 107.97 and 56.83 is: 85.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.15 : 107.97 = 56.83 : x
  2. Step 2: Convert to fraction form
    72.15/107.97 = 56.83/x
  3. Step 3: Cross multiply
    72.15x = 107.97 × 56.83
  4. Step 4: Simplify right side
    72.15x = 6,135.94
  5. Step 5: Solve for x
    x = 6,135.94/72.15
  6. Step 6: Final answer
    x = 85.04

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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.