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Finding the Fourth Proportional to 141,793.88, 195,679.67 and 78,135.77

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Solution

The fourth proportional to 141,793.88, 195,679.67 and 78,135.77 is: 107,829.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,793.88 : 195,679.67 = 78,135.77 : x
  2. Step 2: Convert to fraction form
    141,793.88/195,679.67 = 78,135.77/x
  3. Step 3: Cross multiply
    141,793.88x = 195,679.67 × 78,135.77
  4. Step 4: Simplify right side
    141,793.88x = 15,289,581,787.32
  5. Step 5: Solve for x
    x = 15,289,581,787.32/141,793.88
  6. Step 6: Final answer
    x = 107,829.64

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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.