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Finding the Fourth Proportional to 101.24, 138.91 and 98.52

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Solution

The fourth proportional to 101.24, 138.91 and 98.52 is: 135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.24 : 138.91 = 98.52 : x
  2. Step 2: Convert to fraction form
    101.24/138.91 = 98.52/x
  3. Step 3: Cross multiply
    101.24x = 138.91 × 98.52
  4. Step 4: Simplify right side
    101.24x = 13,685.41
  5. Step 5: Solve for x
    x = 13,685.41/101.24
  6. Step 6: Final answer
    x = 135.18

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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.