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Finding the Fourth Proportional to 206,091.81, 309,157.29 and 63,938.63

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Solution

The fourth proportional to 206,091.81, 309,157.29 and 63,938.63 is: 95,914.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,091.81 : 309,157.29 = 63,938.63 : x
  2. Step 2: Convert to fraction form
    206,091.81/309,157.29 = 63,938.63/x
  3. Step 3: Cross multiply
    206,091.81x = 309,157.29 × 63,938.63
  4. Step 4: Simplify right side
    206,091.81x = 19,767,094,350.01
  5. Step 5: Solve for x
    x = 19,767,094,350.01/206,091.81
  6. Step 6: Final answer
    x = 95,914.02

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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.