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Finding the Fourth Proportional to 125.64, 187.68 and 106.26

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Solution

The fourth proportional to 125.64, 187.68 and 106.26 is: 158.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.64 : 187.68 = 106.26 : x
  2. Step 2: Convert to fraction form
    125.64/187.68 = 106.26/x
  3. Step 3: Cross multiply
    125.64x = 187.68 × 106.26
  4. Step 4: Simplify right side
    125.64x = 19,942.88
  5. Step 5: Solve for x
    x = 19,942.88/125.64
  6. Step 6: Final answer
    x = 158.73

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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.