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Finding the Fourth Proportional to 76,993.56, 115,518.96 and 47,069.19

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Solution

The fourth proportional to 76,993.56, 115,518.96 and 47,069.19 is: 70,621.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,993.56 : 115,518.96 = 47,069.19 : x
  2. Step 2: Convert to fraction form
    76,993.56/115,518.96 = 47,069.19/x
  3. Step 3: Cross multiply
    76,993.56x = 115,518.96 × 47,069.19
  4. Step 4: Simplify right side
    76,993.56x = 5,437,383,876.84
  5. Step 5: Solve for x
    x = 5,437,383,876.84/76,993.56
  6. Step 6: Final answer
    x = 70,621.28

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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.