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Finding the Fourth Proportional to 200,805.90, 301,049.01 and 99,532.68

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Solution

The fourth proportional to 200,805.90, 301,049.01 and 99,532.68 is: 149,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,805.90 : 301,049.01 = 99,532.68 : x
  2. Step 2: Convert to fraction form
    200,805.90/301,049.01 = 99,532.68/x
  3. Step 3: Cross multiply
    200,805.90x = 301,049.01 × 99,532.68
  4. Step 4: Simplify right side
    200,805.90x = 29,964,214,776.65
  5. Step 5: Solve for x
    x = 29,964,214,776.65/200,805.90
  6. Step 6: Final answer
    x = 149,219.79

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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.