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Finding the Fourth Proportional to 135,047.96, 202,057.96 and 81,543

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Solution

The fourth proportional to 135,047.96, 202,057.96 and 81,543 is: 122,004.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,047.96 : 202,057.96 = 81,543 : x
  2. Step 2: Convert to fraction form
    135,047.96/202,057.96 = 81,543/x
  3. Step 3: Cross multiply
    135,047.96x = 202,057.96 × 81,543
  4. Step 4: Simplify right side
    135,047.96x = 16,476,412,232.28
  5. Step 5: Solve for x
    x = 16,476,412,232.28/135,047.96
  6. Step 6: Final answer
    x = 122,004.15

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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.