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Finding the Fourth Proportional to 125.80, 187.73 and 112.13

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Solution

The fourth proportional to 125.80, 187.73 and 112.13 is: 167.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.80 : 187.73 = 112.13 : x
  2. Step 2: Convert to fraction form
    125.80/187.73 = 112.13/x
  3. Step 3: Cross multiply
    125.80x = 187.73 × 112.13
  4. Step 4: Simplify right side
    125.80x = 21,050.21
  5. Step 5: Solve for x
    x = 21,050.21/125.80
  6. Step 6: Final answer
    x = 167.33

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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.