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Finding the Fourth Proportional to 199,755.72, 275,671.08 and 114,872.78

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Solution

The fourth proportional to 199,755.72, 275,671.08 and 114,872.78 is: 158,529.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,755.72 : 275,671.08 = 114,872.78 : x
  2. Step 2: Convert to fraction form
    199,755.72/275,671.08 = 114,872.78/x
  3. Step 3: Cross multiply
    199,755.72x = 275,671.08 × 114,872.78
  4. Step 4: Simplify right side
    199,755.72x = 31,667,104,014.38
  5. Step 5: Solve for x
    x = 31,667,104,014.38/199,755.72
  6. Step 6: Final answer
    x = 158,529.15

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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.