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Finding the Fourth Proportional to 48,909, 73,313.82 and 19,286.16

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Solution

The fourth proportional to 48,909, 73,313.82 and 19,286.16 is: 28,909.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,909 : 73,313.82 = 19,286.16 : x
  2. Step 2: Convert to fraction form
    48,909/73,313.82 = 19,286.16/x
  3. Step 3: Cross multiply
    48,909x = 73,313.82 × 19,286.16
  4. Step 4: Simplify right side
    48,909x = 1,413,942,062.73
  5. Step 5: Solve for x
    x = 1,413,942,062.73/48,909
  6. Step 6: Final answer
    x = 28,909.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.