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Finding the Fourth Proportional to 83,578.90, 115,310.83 and 47,743.54

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Solution

The fourth proportional to 83,578.90, 115,310.83 and 47,743.54 is: 65,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,578.90 : 115,310.83 = 47,743.54 : x
  2. Step 2: Convert to fraction form
    83,578.90/115,310.83 = 47,743.54/x
  3. Step 3: Cross multiply
    83,578.90x = 115,310.83 × 47,743.54
  4. Step 4: Simplify right side
    83,578.90x = 5,505,347,224.54
  5. Step 5: Solve for x
    x = 5,505,347,224.54/83,578.90
  6. Step 6: Final answer
    x = 65,870.06

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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.