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Finding the Fourth Proportional to 113,934.96, 170,872.44 and 78,388.80

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Solution

The fourth proportional to 113,934.96, 170,872.44 and 78,388.80 is: 117,562.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,934.96 : 170,872.44 = 78,388.80 : x
  2. Step 2: Convert to fraction form
    113,934.96/170,872.44 = 78,388.80/x
  3. Step 3: Cross multiply
    113,934.96x = 170,872.44 × 78,388.80
  4. Step 4: Simplify right side
    113,934.96x = 13,394,485,524.67
  5. Step 5: Solve for x
    x = 13,394,485,524.67/113,934.96
  6. Step 6: Final answer
    x = 117,562.56

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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.