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Finding the Fourth Proportional to 36,868, 50,878.20 and 20,101.36

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Solution

The fourth proportional to 36,868, 50,878.20 and 20,101.36 is: 27,740.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,868 : 50,878.20 = 20,101.36 : x
  2. Step 2: Convert to fraction form
    36,868/50,878.20 = 20,101.36/x
  3. Step 3: Cross multiply
    36,868x = 50,878.20 × 20,101.36
  4. Step 4: Simplify right side
    36,868x = 1,022,721,014.35
  5. Step 5: Solve for x
    x = 1,022,721,014.35/36,868
  6. Step 6: Final answer
    x = 27,740.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.