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Finding the Fourth Proportional to 72,996.76, 109,478.40 and 20,409.94

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Solution

The fourth proportional to 72,996.76, 109,478.40 and 20,409.94 is: 30,610.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,996.76 : 109,478.40 = 20,409.94 : x
  2. Step 2: Convert to fraction form
    72,996.76/109,478.40 = 20,409.94/x
  3. Step 3: Cross multiply
    72,996.76x = 109,478.40 × 20,409.94
  4. Step 4: Simplify right side
    72,996.76x = 2,234,447,575.30
  5. Step 5: Solve for x
    x = 2,234,447,575.30/72,996.76
  6. Step 6: Final answer
    x = 30,610.23

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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.