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Finding the Fourth Proportional to 78,571.76, 117,763.97 and 54,750.33

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Solution

The fourth proportional to 78,571.76, 117,763.97 and 54,750.33 is: 82,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,571.76 : 117,763.97 = 54,750.33 : x
  2. Step 2: Convert to fraction form
    78,571.76/117,763.97 = 54,750.33/x
  3. Step 3: Cross multiply
    78,571.76x = 117,763.97 × 54,750.33
  4. Step 4: Simplify right side
    78,571.76x = 6,447,615,945.86
  5. Step 5: Solve for x
    x = 6,447,615,945.86/78,571.76
  6. Step 6: Final answer
    x = 82,060.23

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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.