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Finding the Fourth Proportional to 76,817.72, 115,147.44 and 29,419.88

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Solution

The fourth proportional to 76,817.72, 115,147.44 and 29,419.88 is: 44,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,817.72 : 115,147.44 = 29,419.88 : x
  2. Step 2: Convert to fraction form
    76,817.72/115,147.44 = 29,419.88/x
  3. Step 3: Cross multiply
    76,817.72x = 115,147.44 × 29,419.88
  4. Step 4: Simplify right side
    76,817.72x = 3,387,623,867.11
  5. Step 5: Solve for x
    x = 3,387,623,867.11/76,817.72
  6. Step 6: Final answer
    x = 44,099.51

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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.