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Finding the Fourth Proportional to 206,427.65, 309,638.70 and 56,667.76

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Solution

The fourth proportional to 206,427.65, 309,638.70 and 56,667.76 is: 85,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,427.65 : 309,638.70 = 56,667.76 : x
  2. Step 2: Convert to fraction form
    206,427.65/309,638.70 = 56,667.76/x
  3. Step 3: Cross multiply
    206,427.65x = 309,638.70 × 56,667.76
  4. Step 4: Simplify right side
    206,427.65x = 17,546,530,764.22
  5. Step 5: Solve for x
    x = 17,546,530,764.22/206,427.65
  6. Step 6: Final answer
    x = 85,000.88

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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.