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Finding the Fourth Proportional to 36,772.70, 55,086.15 and 20,102.90

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Solution

The fourth proportional to 36,772.70, 55,086.15 and 20,102.90 is: 30,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,772.70 : 55,086.15 = 20,102.90 : x
  2. Step 2: Convert to fraction form
    36,772.70/55,086.15 = 20,102.90/x
  3. Step 3: Cross multiply
    36,772.70x = 55,086.15 × 20,102.90
  4. Step 4: Simplify right side
    36,772.70x = 1,107,391,364.84
  5. Step 5: Solve for x
    x = 1,107,391,364.84/36,772.70
  6. Step 6: Final answer
    x = 30,114.50

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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.