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Finding the Fourth Proportional to 76,360.87, 105,383.79 and 42,375.80

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Solution

The fourth proportional to 76,360.87, 105,383.79 and 42,375.80 is: 58,481.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,360.87 : 105,383.79 = 42,375.80 : x
  2. Step 2: Convert to fraction form
    76,360.87/105,383.79 = 42,375.80/x
  3. Step 3: Cross multiply
    76,360.87x = 105,383.79 × 42,375.80
  4. Step 4: Simplify right side
    76,360.87x = 4,465,722,671.74
  5. Step 5: Solve for x
    x = 4,465,722,671.74/76,360.87
  6. Step 6: Final answer
    x = 58,481.82

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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.