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Finding the Fourth Proportional to 106,375, 159,589.85 and 39,816.09

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Solution

The fourth proportional to 106,375, 159,589.85 and 39,816.09 is: 59,734.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,375 : 159,589.85 = 39,816.09 : x
  2. Step 2: Convert to fraction form
    106,375/159,589.85 = 39,816.09/x
  3. Step 3: Cross multiply
    106,375x = 159,589.85 × 39,816.09
  4. Step 4: Simplify right side
    106,375x = 6,354,242,833.66
  5. Step 5: Solve for x
    x = 6,354,242,833.66/106,375
  6. Step 6: Final answer
    x = 59,734.36

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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.