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Finding the Fourth Proportional to 72,795.40, 109,193.04 and 20,204.86

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Solution

The fourth proportional to 72,795.40, 109,193.04 and 20,204.86 is: 30,307.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,795.40 : 109,193.04 = 20,204.86 : x
  2. Step 2: Convert to fraction form
    72,795.40/109,193.04 = 20,204.86/x
  3. Step 3: Cross multiply
    72,795.40x = 109,193.04 × 20,204.86
  4. Step 4: Simplify right side
    72,795.40x = 2,206,230,086.17
  5. Step 5: Solve for x
    x = 2,206,230,086.17/72,795.40
  6. Step 6: Final answer
    x = 30,307.27

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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.