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Finding the Fourth Proportional to 206,684.29, 285,205.72 and 120,650.74

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Solution

The fourth proportional to 206,684.29, 285,205.72 and 120,650.74 is: 166,487.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,684.29 : 285,205.72 = 120,650.74 : x
  2. Step 2: Convert to fraction form
    206,684.29/285,205.72 = 120,650.74/x
  3. Step 3: Cross multiply
    206,684.29x = 285,205.72 × 120,650.74
  4. Step 4: Simplify right side
    206,684.29x = 34,410,281,170.23
  5. Step 5: Solve for x
    x = 34,410,281,170.23/206,684.29
  6. Step 6: Final answer
    x = 166,487.16

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1.5x scale

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.