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Finding the Fourth Proportional to 78,280.88, 117,393 and 33,305.24

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Solution

The fourth proportional to 78,280.88, 117,393 and 33,305.24 is: 49,945.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,280.88 : 117,393 = 33,305.24 : x
  2. Step 2: Convert to fraction form
    78,280.88/117,393 = 33,305.24/x
  3. Step 3: Cross multiply
    78,280.88x = 117,393 × 33,305.24
  4. Step 4: Simplify right side
    78,280.88x = 3,909,802,039.32
  5. Step 5: Solve for x
    x = 3,909,802,039.32/78,280.88
  6. Step 6: Final answer
    x = 49,945.81

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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.