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Finding the Fourth Proportional to 76,796, 106,014 and 54,153.44

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Solution

The fourth proportional to 76,796, 106,014 and 54,153.44 is: 74,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,796 : 106,014 = 54,153.44 : x
  2. Step 2: Convert to fraction form
    76,796/106,014 = 54,153.44/x
  3. Step 3: Cross multiply
    76,796x = 106,014 × 54,153.44
  4. Step 4: Simplify right side
    76,796x = 5,741,022,788.16
  5. Step 5: Solve for x
    x = 5,741,022,788.16/76,796
  6. Step 6: Final answer
    x = 74,756.79

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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.