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Finding the Fourth Proportional to 76,782.76, 115,183.37 and 72,583.72

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Solution

The fourth proportional to 76,782.76, 115,183.37 and 72,583.72 is: 108,884.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,782.76 : 115,183.37 = 72,583.72 : x
  2. Step 2: Convert to fraction form
    76,782.76/115,183.37 = 72,583.72/x
  3. Step 3: Cross multiply
    76,782.76x = 115,183.37 × 72,583.72
  4. Step 4: Simplify right side
    76,782.76x = 8,360,437,476.74
  5. Step 5: Solve for x
    x = 8,360,437,476.74/76,782.76
  6. Step 6: Final answer
    x = 108,884.31

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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.