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Finding the Fourth Proportional to 200,406.72, 300,623.04 and 67,281.60

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Solution

The fourth proportional to 200,406.72, 300,623.04 and 67,281.60 is: 100,926.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,406.72 : 300,623.04 = 67,281.60 : x
  2. Step 2: Convert to fraction form
    200,406.72/300,623.04 = 67,281.60/x
  3. Step 3: Cross multiply
    200,406.72x = 300,623.04 × 67,281.60
  4. Step 4: Simplify right side
    200,406.72x = 20,226,399,128.06
  5. Step 5: Solve for x
    x = 20,226,399,128.06/200,406.72
  6. Step 6: Final answer
    x = 100,926.75

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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.