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Finding the Fourth Proportional to 98.68, 147.82 and 80.59

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Solution

The fourth proportional to 98.68, 147.82 and 80.59 is: 120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.68 : 147.82 = 80.59 : x
  2. Step 2: Convert to fraction form
    98.68/147.82 = 80.59/x
  3. Step 3: Cross multiply
    98.68x = 147.82 × 80.59
  4. Step 4: Simplify right side
    98.68x = 11,912.81
  5. Step 5: Solve for x
    x = 11,912.81/98.68
  6. Step 6: Final answer
    x = 120.72

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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.