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Finding the Fourth Proportional to 125.56, 187.16 and 120.09

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Solution

The fourth proportional to 125.56, 187.16 and 120.09 is: 179.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.56 : 187.16 = 120.09 : x
  2. Step 2: Convert to fraction form
    125.56/187.16 = 120.09/x
  3. Step 3: Cross multiply
    125.56x = 187.16 × 120.09
  4. Step 4: Simplify right side
    125.56x = 22,476.04
  5. Step 5: Solve for x
    x = 22,476.04/125.56
  6. Step 6: Final answer
    x = 179.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.