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Finding the Fourth Proportional to 78,218.37, 107,933.36 and 48,004.97

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Solution

The fourth proportional to 78,218.37, 107,933.36 and 48,004.97 is: 66,241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,218.37 : 107,933.36 = 48,004.97 : x
  2. Step 2: Convert to fraction form
    78,218.37/107,933.36 = 48,004.97/x
  3. Step 3: Cross multiply
    78,218.37x = 107,933.36 × 48,004.97
  4. Step 4: Simplify right side
    78,218.37x = 5,181,336,929.11
  5. Step 5: Solve for x
    x = 5,181,336,929.11/78,218.37
  6. Step 6: Final answer
    x = 66,241.94

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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.