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Finding the Fourth Proportional to 109,485.78, 164,228.82 and 26,379.78

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Solution

The fourth proportional to 109,485.78, 164,228.82 and 26,379.78 is: 39,569.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,485.78 : 164,228.82 = 26,379.78 : x
  2. Step 2: Convert to fraction form
    109,485.78/164,228.82 = 26,379.78/x
  3. Step 3: Cross multiply
    109,485.78x = 164,228.82 × 26,379.78
  4. Step 4: Simplify right side
    109,485.78x = 4,332,320,141.26
  5. Step 5: Solve for x
    x = 4,332,320,141.26/109,485.78
  6. Step 6: Final answer
    x = 39,569.71

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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.