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Finding the Fourth Proportional to 206,125.20, 309,187.80 and 143,139.60

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Solution

The fourth proportional to 206,125.20, 309,187.80 and 143,139.60 is: 214,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,125.20 : 309,187.80 = 143,139.60 : x
  2. Step 2: Convert to fraction form
    206,125.20/309,187.80 = 143,139.60/x
  3. Step 3: Cross multiply
    206,125.20x = 309,187.80 × 143,139.60
  4. Step 4: Simplify right side
    206,125.20x = 44,257,018,016.88
  5. Step 5: Solve for x
    x = 44,257,018,016.88/206,125.20
  6. Step 6: Final answer
    x = 214,709.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.