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Finding the Fourth Proportional to 101.08, 139.38 and 83.50

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Solution

The fourth proportional to 101.08, 139.38 and 83.50 is: 115.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.08 : 139.38 = 83.50 : x
  2. Step 2: Convert to fraction form
    101.08/139.38 = 83.50/x
  3. Step 3: Cross multiply
    101.08x = 139.38 × 83.50
  4. Step 4: Simplify right side
    101.08x = 11,638.23
  5. Step 5: Solve for x
    x = 11,638.23/101.08
  6. Step 6: Final answer
    x = 115.14

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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.