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Finding the Fourth Proportional to 141,321.96, 195,021.90 and 77,659.68

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Solution

The fourth proportional to 141,321.96, 195,021.90 and 77,659.68 is: 107,169.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,321.96 : 195,021.90 = 77,659.68 : x
  2. Step 2: Convert to fraction form
    141,321.96/195,021.90 = 77,659.68/x
  3. Step 3: Cross multiply
    141,321.96x = 195,021.90 × 77,659.68
  4. Step 4: Simplify right side
    141,321.96x = 15,145,338,346.99
  5. Step 5: Solve for x
    x = 15,145,338,346.99/141,321.96
  6. Step 6: Final answer
    x = 107,169.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.