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Finding the Fourth Proportional to 77,245.79, 115,839.52 and 35,663.63

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Solution

The fourth proportional to 77,245.79, 115,839.52 and 35,663.63 is: 53,481.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,245.79 : 115,839.52 = 35,663.63 : x
  2. Step 2: Convert to fraction form
    77,245.79/115,839.52 = 35,663.63/x
  3. Step 3: Cross multiply
    77,245.79x = 115,839.52 × 35,663.63
  4. Step 4: Simplify right side
    77,245.79x = 4,131,257,112.30
  5. Step 5: Solve for x
    x = 4,131,257,112.30/77,245.79
  6. Step 6: Final answer
    x = 53,481.97

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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.