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Finding the Fourth Proportional to 206,939.20, 310,462.80 and 66,701.20

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Solution

The fourth proportional to 206,939.20, 310,462.80 and 66,701.20 is: 100,069.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,939.20 : 310,462.80 = 66,701.20 : x
  2. Step 2: Convert to fraction form
    206,939.20/310,462.80 = 66,701.20/x
  3. Step 3: Cross multiply
    206,939.20x = 310,462.80 × 66,701.20
  4. Step 4: Simplify right side
    206,939.20x = 20,708,241,315.36
  5. Step 5: Solve for x
    x = 20,708,241,315.36/206,939.20
  6. Step 6: Final answer
    x = 100,069.21

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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.