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Finding the Fourth Proportional to 206,951.55, 285,594.12 and 120,915.42

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Solution

The fourth proportional to 206,951.55, 285,594.12 and 120,915.42 is: 166,863.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,951.55 : 285,594.12 = 120,915.42 : x
  2. Step 2: Convert to fraction form
    206,951.55/285,594.12 = 120,915.42/x
  3. Step 3: Cross multiply
    206,951.55x = 285,594.12 × 120,915.42
  4. Step 4: Simplify right side
    206,951.55x = 34,532,732,969.33
  5. Step 5: Solve for x
    x = 34,532,732,969.33/206,951.55
  6. Step 6: Final answer
    x = 166,863.85

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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.