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Finding the Fourth Proportional to 135,048.96, 202,059.46 and 81,544

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Solution

The fourth proportional to 135,048.96, 202,059.46 and 81,544 is: 122,005.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,048.96 : 202,059.46 = 81,544 : x
  2. Step 2: Convert to fraction form
    135,048.96/202,059.46 = 81,544/x
  3. Step 3: Cross multiply
    135,048.96x = 202,059.46 × 81,544
  4. Step 4: Simplify right side
    135,048.96x = 16,476,736,606.24
  5. Step 5: Solve for x
    x = 16,476,736,606.24/135,048.96
  6. Step 6: Final answer
    x = 122,005.65

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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.