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Finding the Fourth Proportional to 75,857, 113,790.97 and 29,109.88

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Solution

The fourth proportional to 75,857, 113,790.97 and 29,109.88 is: 43,666.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,857 : 113,790.97 = 29,109.88 : x
  2. Step 2: Convert to fraction form
    75,857/113,790.97 = 29,109.88/x
  3. Step 3: Cross multiply
    75,857x = 113,790.97 × 29,109.88
  4. Step 4: Simplify right side
    75,857x = 3,312,440,912.83
  5. Step 5: Solve for x
    x = 3,312,440,912.83/75,857
  6. Step 6: Final answer
    x = 43,666.91

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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.