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Finding the Fourth Proportional to 102,809.48, 154,212.60 and 32,687.78

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Solution

The fourth proportional to 102,809.48, 154,212.60 and 32,687.78 is: 49,031.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,809.48 : 154,212.60 = 32,687.78 : x
  2. Step 2: Convert to fraction form
    102,809.48/154,212.60 = 32,687.78/x
  3. Step 3: Cross multiply
    102,809.48x = 154,212.60 × 32,687.78
  4. Step 4: Simplify right side
    102,809.48x = 5,040,867,542.03
  5. Step 5: Solve for x
    x = 5,040,867,542.03/102,809.48
  6. Step 6: Final answer
    x = 49,031.15

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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.