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Finding the Fourth Proportional to 200,412.56, 300,609.48 and 82,054.64

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Solution

The fourth proportional to 200,412.56, 300,609.48 and 82,054.64 is: 123,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,412.56 : 300,609.48 = 82,054.64 : x
  2. Step 2: Convert to fraction form
    200,412.56/300,609.48 = 82,054.64/x
  3. Step 3: Cross multiply
    200,412.56x = 300,609.48 × 82,054.64
  4. Step 4: Simplify right side
    200,412.56x = 24,666,402,661.99
  5. Step 5: Solve for x
    x = 24,666,402,661.99/200,412.56
  6. Step 6: Final answer
    x = 123,078.13

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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.