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Finding the Fourth Proportional to 72,835.76, 109,255.05 and 20,244.48

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Solution

The fourth proportional to 72,835.76, 109,255.05 and 20,244.48 is: 30,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,835.76 : 109,255.05 = 20,244.48 : x
  2. Step 2: Convert to fraction form
    72,835.76/109,255.05 = 20,244.48/x
  3. Step 3: Cross multiply
    72,835.76x = 109,255.05 × 20,244.48
  4. Step 4: Simplify right side
    72,835.76x = 2,211,811,674.62
  5. Step 5: Solve for x
    x = 2,211,811,674.62/72,835.76
  6. Step 6: Final answer
    x = 30,367.11

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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.