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Finding the Fourth Proportional to 81,568.67, 112,571.10 and 45,756.54

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Solution

The fourth proportional to 81,568.67, 112,571.10 and 45,756.54 is: 63,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,568.67 : 112,571.10 = 45,756.54 : x
  2. Step 2: Convert to fraction form
    81,568.67/112,571.10 = 45,756.54/x
  3. Step 3: Cross multiply
    81,568.67x = 112,571.10 × 45,756.54
  4. Step 4: Simplify right side
    81,568.67x = 5,150,864,039.99
  5. Step 5: Solve for x
    x = 5,150,864,039.99/81,568.67
  6. Step 6: Final answer
    x = 63,147.58

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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.