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Finding the Fourth Proportional to 200,393, 300,635.58 and 69,065

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Solution

The fourth proportional to 200,393, 300,635.58 and 69,065 is: 103,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,393 : 300,635.58 = 69,065 : x
  2. Step 2: Convert to fraction form
    200,393/300,635.58 = 69,065/x
  3. Step 3: Cross multiply
    200,393x = 300,635.58 × 69,065
  4. Step 4: Simplify right side
    200,393x = 20,763,396,332.70
  5. Step 5: Solve for x
    x = 20,763,396,332.70/200,393
  6. Step 6: Final answer
    x = 103,613.38

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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.