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Finding the Fourth Proportional to 221,310.72, 305,408.16 and 120,708

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Solution

The fourth proportional to 221,310.72, 305,408.16 and 120,708 is: 166,576.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,310.72 : 305,408.16 = 120,708 : x
  2. Step 2: Convert to fraction form
    221,310.72/305,408.16 = 120,708/x
  3. Step 3: Cross multiply
    221,310.72x = 305,408.16 × 120,708
  4. Step 4: Simplify right side
    221,310.72x = 36,865,208,177.28
  5. Step 5: Solve for x
    x = 36,865,208,177.28/221,310.72
  6. Step 6: Final answer
    x = 166,576.69

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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.