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Finding the Fourth Proportional to 101.23, 138.75 and 98.15

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Solution

The fourth proportional to 101.23, 138.75 and 98.15 is: 134.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.23 : 138.75 = 98.15 : x
  2. Step 2: Convert to fraction form
    101.23/138.75 = 98.15/x
  3. Step 3: Cross multiply
    101.23x = 138.75 × 98.15
  4. Step 4: Simplify right side
    101.23x = 13,618.31
  5. Step 5: Solve for x
    x = 13,618.31/101.23
  6. Step 6: Final answer
    x = 134.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.