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Finding the Fourth Proportional to 204,758.47, 307,181.45 and 71,643.07

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Solution

The fourth proportional to 204,758.47, 307,181.45 and 71,643.07 is: 107,479.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,758.47 : 307,181.45 = 71,643.07 : x
  2. Step 2: Convert to fraction form
    204,758.47/307,181.45 = 71,643.07/x
  3. Step 3: Cross multiply
    204,758.47x = 307,181.45 × 71,643.07
  4. Step 4: Simplify right side
    204,758.47x = 22,007,422,125.05
  5. Step 5: Solve for x
    x = 22,007,422,125.05/204,758.47
  6. Step 6: Final answer
    x = 107,479.91

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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.