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Finding the Fourth Proportional to 215,305, 323,009.70 and 67,561

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Solution

The fourth proportional to 215,305, 323,009.70 and 67,561 is: 101,357.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,305 : 323,009.70 = 67,561 : x
  2. Step 2: Convert to fraction form
    215,305/323,009.70 = 67,561/x
  3. Step 3: Cross multiply
    215,305x = 323,009.70 × 67,561
  4. Step 4: Simplify right side
    215,305x = 21,822,858,341.70
  5. Step 5: Solve for x
    x = 21,822,858,341.70/215,305
  6. Step 6: Final answer
    x = 101,357.88

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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.