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Finding the Fourth Proportional to 71.12, 98.20 and 54.50

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Solution

The fourth proportional to 71.12, 98.20 and 54.50 is: 75.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.12 : 98.20 = 54.50 : x
  2. Step 2: Convert to fraction form
    71.12/98.20 = 54.50/x
  3. Step 3: Cross multiply
    71.12x = 98.20 × 54.50
  4. Step 4: Simplify right side
    71.12x = 5,351.65
  5. Step 5: Solve for x
    x = 5,351.65/71.12
  6. Step 6: Final answer
    x = 75.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.