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Finding the Fourth Proportional to 207,613.10, 311,304.45 and 82,813.10

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Solution

The fourth proportional to 207,613.10, 311,304.45 and 82,813.10 is: 124,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,613.10 : 311,304.45 = 82,813.10 : x
  2. Step 2: Convert to fraction form
    207,613.10/311,304.45 = 82,813.10/x
  3. Step 3: Cross multiply
    207,613.10x = 311,304.45 × 82,813.10
  4. Step 4: Simplify right side
    207,613.10x = 25,780,086,548.30
  5. Step 5: Solve for x
    x = 25,780,086,548.30/207,613.10
  6. Step 6: Final answer
    x = 124,173.70

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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.