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Finding the Fourth Proportional to 206,859.62, 310,283.25 and 57,109.05

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Solution

The fourth proportional to 206,859.62, 310,283.25 and 57,109.05 is: 85,661.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,859.62 : 310,283.25 = 57,109.05 : x
  2. Step 2: Convert to fraction form
    206,859.62/310,283.25 = 57,109.05/x
  3. Step 3: Cross multiply
    206,859.62x = 310,283.25 × 57,109.05
  4. Step 4: Simplify right side
    206,859.62x = 17,719,981,638.41
  5. Step 5: Solve for x
    x = 17,719,981,638.41/206,859.62
  6. Step 6: Final answer
    x = 85,661.87

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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.