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Finding the Fourth Proportional to 73,178.64, 100,986.72 and 39,644.64

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Solution

The fourth proportional to 73,178.64, 100,986.72 and 39,644.64 is: 54,709.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178.64 : 100,986.72 = 39,644.64 : x
  2. Step 2: Convert to fraction form
    73,178.64/100,986.72 = 39,644.64/x
  3. Step 3: Cross multiply
    73,178.64x = 100,986.72 × 39,644.64
  4. Step 4: Simplify right side
    73,178.64x = 4,003,582,159.18
  5. Step 5: Solve for x
    x = 4,003,582,159.18/73,178.64
  6. Step 6: Final answer
    x = 54,709.71

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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.