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Finding the Fourth Proportional to 125.15, 171.86 and 109.49

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Solution

The fourth proportional to 125.15, 171.86 and 109.49 is: 150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.15 : 171.86 = 109.49 : x
  2. Step 2: Convert to fraction form
    125.15/171.86 = 109.49/x
  3. Step 3: Cross multiply
    125.15x = 171.86 × 109.49
  4. Step 4: Simplify right side
    125.15x = 18,815.54
  5. Step 5: Solve for x
    x = 18,815.54/125.15
  6. Step 6: Final answer
    x = 150.35

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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.