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Finding the Fourth Proportional to 72,806.76, 109,236.84 and 30,697.44

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Solution

The fourth proportional to 72,806.76, 109,236.84 and 30,697.44 is: 46,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,806.76 : 109,236.84 = 30,697.44 : x
  2. Step 2: Convert to fraction form
    72,806.76/109,236.84 = 30,697.44/x
  3. Step 3: Cross multiply
    72,806.76x = 109,236.84 × 30,697.44
  4. Step 4: Simplify right side
    72,806.76x = 3,353,291,341.69
  5. Step 5: Solve for x
    x = 3,353,291,341.69/72,806.76
  6. Step 6: Final answer
    x = 46,057.42

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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.