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Finding the Fourth Proportional to 98.25, 147.19 and 71.14

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Solution

The fourth proportional to 98.25, 147.19 and 71.14 is: 106.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.25 : 147.19 = 71.14 : x
  2. Step 2: Convert to fraction form
    98.25/147.19 = 71.14/x
  3. Step 3: Cross multiply
    98.25x = 147.19 × 71.14
  4. Step 4: Simplify right side
    98.25x = 10,471.10
  5. Step 5: Solve for x
    x = 10,471.10/98.25
  6. Step 6: Final answer
    x = 106.58

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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.