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Finding the Fourth Proportional to 102,809.82, 154,215.82 and 36,237.54

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Solution

The fourth proportional to 102,809.82, 154,215.82 and 36,237.54 is: 54,356.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,809.82 : 154,215.82 = 36,237.54 : x
  2. Step 2: Convert to fraction form
    102,809.82/154,215.82 = 36,237.54/x
  3. Step 3: Cross multiply
    102,809.82x = 154,215.82 × 36,237.54
  4. Step 4: Simplify right side
    102,809.82x = 5,588,401,945.88
  5. Step 5: Solve for x
    x = 5,588,401,945.88/102,809.82
  6. Step 6: Final answer
    x = 54,356.69

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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.