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Finding the Fourth Proportional to 56,829.78, 78,409.26 and 36,687.60

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Solution

The fourth proportional to 56,829.78, 78,409.26 and 36,687.60 is: 50,618.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,829.78 : 78,409.26 = 36,687.60 : x
  2. Step 2: Convert to fraction form
    56,829.78/78,409.26 = 36,687.60/x
  3. Step 3: Cross multiply
    56,829.78x = 78,409.26 × 36,687.60
  4. Step 4: Simplify right side
    56,829.78x = 2,876,647,567.18
  5. Step 5: Solve for x
    x = 2,876,647,567.18/56,829.78
  6. Step 6: Final answer
    x = 50,618.66

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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.