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Finding the Fourth Proportional to 76,224, 114,343.92 and 20,820

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Solution

The fourth proportional to 76,224, 114,343.92 and 20,820 is: 31,232.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,224 : 114,343.92 = 20,820 : x
  2. Step 2: Convert to fraction form
    76,224/114,343.92 = 20,820/x
  3. Step 3: Cross multiply
    76,224x = 114,343.92 × 20,820
  4. Step 4: Simplify right side
    76,224x = 2,380,640,414.40
  5. Step 5: Solve for x
    x = 2,380,640,414.40/76,224
  6. Step 6: Final answer
    x = 31,232.16

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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.