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Finding the Fourth Proportional to 204,507.69, 306,901.68 and 71,387.97

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Solution

The fourth proportional to 204,507.69, 306,901.68 and 71,387.97 is: 107,130.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,507.69 : 306,901.68 = 71,387.97 : x
  2. Step 2: Convert to fraction form
    204,507.69/306,901.68 = 71,387.97/x
  3. Step 3: Cross multiply
    204,507.69x = 306,901.68 × 71,387.97
  4. Step 4: Simplify right side
    204,507.69x = 21,909,087,924.79
  5. Step 5: Solve for x
    x = 21,909,087,924.79/204,507.69
  6. Step 6: Final answer
    x = 107,130.88

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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.