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Finding the Fourth Proportional to 84,198, 126,282.96 and 42,033.36

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Solution

The fourth proportional to 84,198, 126,282.96 and 42,033.36 is: 63,043.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,198 : 126,282.96 = 42,033.36 : x
  2. Step 2: Convert to fraction form
    84,198/126,282.96 = 42,033.36/x
  3. Step 3: Cross multiply
    84,198x = 126,282.96 × 42,033.36
  4. Step 4: Simplify right side
    84,198x = 5,308,097,119.55
  5. Step 5: Solve for x
    x = 5,308,097,119.55/84,198
  6. Step 6: Final answer
    x = 63,043.03

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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.