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Finding the Fourth Proportional to 78,371.80, 108,186.17 and 52,912.63

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Solution

The fourth proportional to 78,371.80, 108,186.17 and 52,912.63 is: 73,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,371.80 : 108,186.17 = 52,912.63 : x
  2. Step 2: Convert to fraction form
    78,371.80/108,186.17 = 52,912.63/x
  3. Step 3: Cross multiply
    78,371.80x = 108,186.17 × 52,912.63
  4. Step 4: Simplify right side
    78,371.80x = 5,724,414,249.30
  5. Step 5: Solve for x
    x = 5,724,414,249.30/78,371.80
  6. Step 6: Final answer
    x = 73,041.76

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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.