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Finding the Fourth Proportional to 125.12, 187.77 and 100.82

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Solution

The fourth proportional to 125.12, 187.77 and 100.82 is: 151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    125.12 : 187.77 = 100.82 : x
  2. Step 2: Convert to fraction form
    125.12/187.77 = 100.82/x
  3. Step 3: Cross multiply
    125.12x = 187.77 × 100.82
  4. Step 4: Simplify right side
    125.12x = 18,930.97
  5. Step 5: Solve for x
    x = 18,930.97/125.12
  6. Step 6: Final answer
    x = 151.30

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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.