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Finding the Fourth Proportional to 141,847.75, 195,751.21 and 78,187.82

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Solution

The fourth proportional to 141,847.75, 195,751.21 and 78,187.82 is: 107,899.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,847.75 : 195,751.21 = 78,187.82 : x
  2. Step 2: Convert to fraction form
    141,847.75/195,751.21 = 78,187.82/x
  3. Step 3: Cross multiply
    141,847.75x = 195,751.21 × 78,187.82
  4. Step 4: Simplify right side
    141,847.75x = 15,305,360,666.17
  5. Step 5: Solve for x
    x = 15,305,360,666.17/141,847.75
  6. Step 6: Final answer
    x = 107,899.92

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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.