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Finding the Fourth Proportional to 125,414.82, 188,139.87 and 36,675

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Solution

The fourth proportional to 125,414.82, 188,139.87 and 36,675 is: 55,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,414.82 : 188,139.87 = 36,675 : x
  2. Step 2: Convert to fraction form
    125,414.82/188,139.87 = 36,675/x
  3. Step 3: Cross multiply
    125,414.82x = 188,139.87 × 36,675
  4. Step 4: Simplify right side
    125,414.82x = 6,900,029,732.25
  5. Step 5: Solve for x
    x = 6,900,029,732.25/125,414.82
  6. Step 6: Final answer
    x = 55,017.66

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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.