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Finding the Fourth Proportional to 125,415.82, 188,141.37 and 36,676

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Solution

The fourth proportional to 125,415.82, 188,141.37 and 36,676 is: 55,019.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,415.82 : 188,141.37 = 36,676 : x
  2. Step 2: Convert to fraction form
    125,415.82/188,141.37 = 36,676/x
  3. Step 3: Cross multiply
    125,415.82x = 188,141.37 × 36,676
  4. Step 4: Simplify right side
    125,415.82x = 6,900,272,886.12
  5. Step 5: Solve for x
    x = 6,900,272,886.12/125,415.82
  6. Step 6: Final answer
    x = 55,019.16

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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.