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Finding the Fourth Proportional to 206,869.10, 310,390.05 and 66,670.70

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Solution

The fourth proportional to 206,869.10, 310,390.05 and 66,670.70 is: 100,033.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,869.10 : 310,390.05 = 66,670.70 : x
  2. Step 2: Convert to fraction form
    206,869.10/310,390.05 = 66,670.70/x
  3. Step 3: Cross multiply
    206,869.10x = 310,390.05 × 66,670.70
  4. Step 4: Simplify right side
    206,869.10x = 20,693,921,906.54
  5. Step 5: Solve for x
    x = 20,693,921,906.54/206,869.10
  6. Step 6: Final answer
    x = 100,033.90

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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.