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Finding the Fourth Proportional to 116,668, 161,001.84 and 63,676

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Solution

The fourth proportional to 116,668, 161,001.84 and 63,676 is: 87,872.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,668 : 161,001.84 = 63,676 : x
  2. Step 2: Convert to fraction form
    116,668/161,001.84 = 63,676/x
  3. Step 3: Cross multiply
    116,668x = 161,001.84 × 63,676
  4. Step 4: Simplify right side
    116,668x = 10,251,953,163.84
  5. Step 5: Solve for x
    x = 10,251,953,163.84/116,668
  6. Step 6: Final answer
    x = 87,872.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.