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Finding the Fourth Proportional to 221,004, 331,604.37 and 115,798.38

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Solution

The fourth proportional to 221,004, 331,604.37 and 115,798.38 is: 173,749.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,004 : 331,604.37 = 115,798.38 : x
  2. Step 2: Convert to fraction form
    221,004/331,604.37 = 115,798.38/x
  3. Step 3: Cross multiply
    221,004x = 331,604.37 × 115,798.38
  4. Step 4: Simplify right side
    221,004x = 38,399,248,846.92
  5. Step 5: Solve for x
    x = 38,399,248,846.92/221,004
  6. Step 6: Final answer
    x = 173,749.11

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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.