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Finding the Fourth Proportional to 139.88, 209.63 and 103.52

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Solution

The fourth proportional to 139.88, 209.63 and 103.52 is: 155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139.88 : 209.63 = 103.52 : x
  2. Step 2: Convert to fraction form
    139.88/209.63 = 103.52/x
  3. Step 3: Cross multiply
    139.88x = 209.63 × 103.52
  4. Step 4: Simplify right side
    139.88x = 21,700.11
  5. Step 5: Solve for x
    x = 21,700.11/139.88
  6. Step 6: Final answer
    x = 155.14

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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.