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Finding the Fourth Proportional to 110,668.70, 166,003.05 and 102,115.10

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Solution

The fourth proportional to 110,668.70, 166,003.05 and 102,115.10 is: 153,172.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,668.70 : 166,003.05 = 102,115.10 : x
  2. Step 2: Convert to fraction form
    110,668.70/166,003.05 = 102,115.10/x
  3. Step 3: Cross multiply
    110,668.70x = 166,003.05 × 102,115.10
  4. Step 4: Simplify right side
    110,668.70x = 16,951,418,051.06
  5. Step 5: Solve for x
    x = 16,951,418,051.06/110,668.70
  6. Step 6: Final answer
    x = 153,172.65

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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.