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Finding the Fourth Proportional to 76,805.66, 115,279.77 and 39,393.38

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Solution

The fourth proportional to 76,805.66, 115,279.77 and 39,393.38 is: 59,126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,805.66 : 115,279.77 = 39,393.38 : x
  2. Step 2: Convert to fraction form
    76,805.66/115,279.77 = 39,393.38/x
  3. Step 3: Cross multiply
    76,805.66x = 115,279.77 × 39,393.38
  4. Step 4: Simplify right side
    76,805.66x = 4,541,259,785.92
  5. Step 5: Solve for x
    x = 4,541,259,785.92/76,805.66
  6. Step 6: Final answer
    x = 59,126.63

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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.