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Finding the Fourth Proportional to 73,178.50, 100,986.36 and 39,644.50

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Solution

The fourth proportional to 73,178.50, 100,986.36 and 39,644.50 is: 54,709.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178.50 : 100,986.36 = 39,644.50 : x
  2. Step 2: Convert to fraction form
    73,178.50/100,986.36 = 39,644.50/x
  3. Step 3: Cross multiply
    73,178.50x = 100,986.36 × 39,644.50
  4. Step 4: Simplify right side
    73,178.50x = 4,003,553,749.02
  5. Step 5: Solve for x
    x = 4,003,553,749.02/73,178.50
  6. Step 6: Final answer
    x = 54,709.43

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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.