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Finding the Fourth Proportional to 76,546, 105,589.44 and 47,815.84

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Solution

The fourth proportional to 76,546, 105,589.44 and 47,815.84 is: 65,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,546 : 105,589.44 = 47,815.84 : x
  2. Step 2: Convert to fraction form
    76,546/105,589.44 = 47,815.84/x
  3. Step 3: Cross multiply
    76,546x = 105,589.44 × 47,815.84
  4. Step 4: Simplify right side
    76,546x = 5,048,847,768.73
  5. Step 5: Solve for x
    x = 5,048,847,768.73/76,546
  6. Step 6: Final answer
    x = 65,958.35

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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.