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Finding the Fourth Proportional to 206,910.41, 310,359.48 and 57,159.71

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Solution

The fourth proportional to 206,910.41, 310,359.48 and 57,159.71 is: 85,737.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,910.41 : 310,359.48 = 57,159.71 : x
  2. Step 2: Convert to fraction form
    206,910.41/310,359.48 = 57,159.71/x
  3. Step 3: Cross multiply
    206,910.41x = 310,359.48 × 57,159.71
  4. Step 4: Simplify right side
    206,910.41x = 17,740,057,872.55
  5. Step 5: Solve for x
    x = 17,740,057,872.55/206,910.41
  6. Step 6: Final answer
    x = 85,737.87

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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.