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Finding the Fourth Proportional to 106,535.96, 159,762.41 and 39,939.78

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Solution

The fourth proportional to 106,535.96, 159,762.41 and 39,939.78 is: 59,894.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,535.96 : 159,762.41 = 39,939.78 : x
  2. Step 2: Convert to fraction form
    106,535.96/159,762.41 = 39,939.78/x
  3. Step 3: Cross multiply
    106,535.96x = 159,762.41 × 39,939.78
  4. Step 4: Simplify right side
    106,535.96x = 6,380,876,056.85
  5. Step 5: Solve for x
    x = 6,380,876,056.85/106,535.96
  6. Step 6: Final answer
    x = 59,894.11

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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.