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Finding the Fourth Proportional to 205,326, 307,964.75 and 63,171

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Solution

The fourth proportional to 205,326, 307,964.75 and 63,171 is: 94,749.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,326 : 307,964.75 = 63,171 : x
  2. Step 2: Convert to fraction form
    205,326/307,964.75 = 63,171/x
  3. Step 3: Cross multiply
    205,326x = 307,964.75 × 63,171
  4. Step 4: Simplify right side
    205,326x = 19,454,440,906.40
  5. Step 5: Solve for x
    x = 19,454,440,906.40/205,326
  6. Step 6: Final answer
    x = 94,749.04

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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.