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Finding the Fourth Proportional to 83,605.76, 115,375.84 and 47,796.56

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Solution

The fourth proportional to 83,605.76, 115,375.84 and 47,796.56 is: 65,959.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,605.76 : 115,375.84 = 47,796.56 : x
  2. Step 2: Convert to fraction form
    83,605.76/115,375.84 = 47,796.56/x
  3. Step 3: Cross multiply
    83,605.76x = 115,375.84 × 47,796.56
  4. Step 4: Simplify right side
    83,605.76x = 5,514,568,259.11
  5. Step 5: Solve for x
    x = 5,514,568,259.11/83,605.76
  6. Step 6: Final answer
    x = 65,959.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.