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Finding the Fourth Proportional to 101.25, 139.32 and 98.42

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Solution

The fourth proportional to 101.25, 139.32 and 98.42 is: 135.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.25 : 139.32 = 98.42 : x
  2. Step 2: Convert to fraction form
    101.25/139.32 = 98.42/x
  3. Step 3: Cross multiply
    101.25x = 139.32 × 98.42
  4. Step 4: Simplify right side
    101.25x = 13,711.18
  5. Step 5: Solve for x
    x = 13,711.18/101.25
  6. Step 6: Final answer
    x = 135.42

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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.