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Finding the Fourth Proportional to 77,997.68, 117,013.80 and 36,422

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Solution

The fourth proportional to 77,997.68, 117,013.80 and 36,422 is: 54,641.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,997.68 : 117,013.80 = 36,422 : x
  2. Step 2: Convert to fraction form
    77,997.68/117,013.80 = 36,422/x
  3. Step 3: Cross multiply
    77,997.68x = 117,013.80 × 36,422
  4. Step 4: Simplify right side
    77,997.68x = 4,261,876,623.60
  5. Step 5: Solve for x
    x = 4,261,876,623.60/77,997.68
  6. Step 6: Final answer
    x = 54,641.07

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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.