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Finding the Fourth Proportional to 76,378.44, 105,400.96 and 42,843.72

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Solution

The fourth proportional to 76,378.44, 105,400.96 and 42,843.72 is: 59,123.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,378.44 : 105,400.96 = 42,843.72 : x
  2. Step 2: Convert to fraction form
    76,378.44/105,400.96 = 42,843.72/x
  3. Step 3: Cross multiply
    76,378.44x = 105,400.96 × 42,843.72
  4. Step 4: Simplify right side
    76,378.44x = 4,515,769,217.97
  5. Step 5: Solve for x
    x = 4,515,769,217.97/76,378.44
  6. Step 6: Final answer
    x = 59,123.61

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1.5x scale

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.