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Finding the Fourth Proportional to 72,824.76, 109,237.09 and 20,234.22

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Solution

The fourth proportional to 72,824.76, 109,237.09 and 20,234.22 is: 30,351.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,824.76 : 109,237.09 = 20,234.22 : x
  2. Step 2: Convert to fraction form
    72,824.76/109,237.09 = 20,234.22/x
  3. Step 3: Cross multiply
    72,824.76x = 109,237.09 × 20,234.22
  4. Step 4: Simplify right side
    72,824.76x = 2,210,327,311.22
  5. Step 5: Solve for x
    x = 2,210,327,311.22/72,824.76
  6. Step 6: Final answer
    x = 30,351.32

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1.5x scale

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.