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Finding the Fourth Proportional to 76,744.86, 115,142.90 and 34,044.39

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Solution

The fourth proportional to 76,744.86, 115,142.90 and 34,044.39 is: 51,077.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,744.86 : 115,142.90 = 34,044.39 : x
  2. Step 2: Convert to fraction form
    76,744.86/115,142.90 = 34,044.39/x
  3. Step 3: Cross multiply
    76,744.86x = 115,142.90 × 34,044.39
  4. Step 4: Simplify right side
    76,744.86x = 3,919,969,623.11
  5. Step 5: Solve for x
    x = 3,919,969,623.11/76,744.86
  6. Step 6: Final answer
    x = 51,077.94

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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.