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Finding the Fourth Proportional to 206,702.84, 285,250.08 and 120,720.44

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Solution

The fourth proportional to 206,702.84, 285,250.08 and 120,720.44 is: 166,594.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,702.84 : 285,250.08 = 120,720.44 : x
  2. Step 2: Convert to fraction form
    206,702.84/285,250.08 = 120,720.44/x
  3. Step 3: Cross multiply
    206,702.84x = 285,250.08 × 120,720.44
  4. Step 4: Simplify right side
    206,702.84x = 34,435,515,167.64
  5. Step 5: Solve for x
    x = 34,435,515,167.64/206,702.84
  6. Step 6: Final answer
    x = 166,594.30

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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.