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Finding the Fourth Proportional to 78,123.86, 107,803.22 and 43,662.23

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Solution

The fourth proportional to 78,123.86, 107,803.22 and 43,662.23 is: 60,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,123.86 : 107,803.22 = 43,662.23 : x
  2. Step 2: Convert to fraction form
    78,123.86/107,803.22 = 43,662.23/x
  3. Step 3: Cross multiply
    78,123.86x = 107,803.22 × 43,662.23
  4. Step 4: Simplify right side
    78,123.86x = 4,706,928,229.05
  5. Step 5: Solve for x
    x = 4,706,928,229.05/78,123.86
  6. Step 6: Final answer
    x = 60,249.56

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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.