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Finding the Fourth Proportional to 145,571.92, 200,887.19 and 81,909.56

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Solution

The fourth proportional to 145,571.92, 200,887.19 and 81,909.56 is: 113,034.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,571.92 : 200,887.19 = 81,909.56 : x
  2. Step 2: Convert to fraction form
    145,571.92/200,887.19 = 81,909.56/x
  3. Step 3: Cross multiply
    145,571.92x = 200,887.19 × 81,909.56
  4. Step 4: Simplify right side
    145,571.92x = 16,454,581,742.37
  5. Step 5: Solve for x
    x = 16,454,581,742.37/145,571.92
  6. Step 6: Final answer
    x = 113,034.04

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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.