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Finding the Fourth Proportional to 217,783.77, 300,531.87 and 120,993.86

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Solution

The fourth proportional to 217,783.77, 300,531.87 and 120,993.86 is: 166,966.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,783.77 : 300,531.87 = 120,993.86 : x
  2. Step 2: Convert to fraction form
    217,783.77/300,531.87 = 120,993.86/x
  3. Step 3: Cross multiply
    217,783.77x = 300,531.87 × 120,993.86
  4. Step 4: Simplify right side
    217,783.77x = 36,362,511,755.65
  5. Step 5: Solve for x
    x = 36,362,511,755.65/217,783.77
  6. Step 6: Final answer
    x = 166,966.13

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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.