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Finding the Fourth Proportional to 71.98, 108.20 and 56.94

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Solution

The fourth proportional to 71.98, 108.20 and 56.94 is: 85.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.98 : 108.20 = 56.94 : x
  2. Step 2: Convert to fraction form
    71.98/108.20 = 56.94/x
  3. Step 3: Cross multiply
    71.98x = 108.20 × 56.94
  4. Step 4: Simplify right side
    71.98x = 6,161.05
  5. Step 5: Solve for x
    x = 6,161.05/71.98
  6. Step 6: Final answer
    x = 85.60

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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.