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Finding the Fourth Proportional to 72,811.98, 109,214.33 and 20,221.92

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Solution

The fourth proportional to 72,811.98, 109,214.33 and 20,221.92 is: 30,331.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,811.98 : 109,214.33 = 20,221.92 : x
  2. Step 2: Convert to fraction form
    72,811.98/109,214.33 = 20,221.92/x
  3. Step 3: Cross multiply
    72,811.98x = 109,214.33 × 20,221.92
  4. Step 4: Simplify right side
    72,811.98x = 2,208,523,343.00
  5. Step 5: Solve for x
    x = 2,208,523,343.00/72,811.98
  6. Step 6: Final answer
    x = 30,331.87

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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.