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Finding the Fourth Proportional to 200,900.82, 301,397.25 and 87,067.74

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Solution

The fourth proportional to 200,900.82, 301,397.25 and 87,067.74 is: 130,621.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,900.82 : 301,397.25 = 87,067.74 : x
  2. Step 2: Convert to fraction form
    200,900.82/301,397.25 = 87,067.74/x
  3. Step 3: Cross multiply
    200,900.82x = 301,397.25 × 87,067.74
  4. Step 4: Simplify right side
    200,900.82x = 26,241,977,399.72
  5. Step 5: Solve for x
    x = 26,241,977,399.72/200,900.82
  6. Step 6: Final answer
    x = 130,621.55

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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.