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Finding the Fourth Proportional to 72,811.46, 100,481.82 and 40,981.46

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Solution

The fourth proportional to 72,811.46, 100,481.82 and 40,981.46 is: 56,555.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,811.46 : 100,481.82 = 40,981.46 : x
  2. Step 2: Convert to fraction form
    72,811.46/100,481.82 = 40,981.46/x
  3. Step 3: Cross multiply
    72,811.46x = 100,481.82 × 40,981.46
  4. Step 4: Simplify right side
    72,811.46x = 4,117,891,687.06
  5. Step 5: Solve for x
    x = 4,117,891,687.06/72,811.46
  6. Step 6: Final answer
    x = 56,555.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.