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Finding the Fourth Proportional to 72,579.84, 100,171.12 and 44,302

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Solution

The fourth proportional to 72,579.84, 100,171.12 and 44,302 is: 61,143.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,579.84 : 100,171.12 = 44,302 : x
  2. Step 2: Convert to fraction form
    72,579.84/100,171.12 = 44,302/x
  3. Step 3: Cross multiply
    72,579.84x = 100,171.12 × 44,302
  4. Step 4: Simplify right side
    72,579.84x = 4,437,780,958.24
  5. Step 5: Solve for x
    x = 4,437,780,958.24/72,579.84
  6. Step 6: Final answer
    x = 61,143.44

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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.