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Finding the Fourth Proportional to 200,792.10, 300,988.50 and 100,646.64

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Solution

The fourth proportional to 200,792.10, 300,988.50 and 100,646.64 is: 150,869.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,792.10 : 300,988.50 = 100,646.64 : x
  2. Step 2: Convert to fraction form
    200,792.10/300,988.50 = 100,646.64/x
  3. Step 3: Cross multiply
    200,792.10x = 300,988.50 × 100,646.64
  4. Step 4: Simplify right side
    200,792.10x = 30,293,481,203.64
  5. Step 5: Solve for x
    x = 30,293,481,203.64/200,792.10
  6. Step 6: Final answer
    x = 150,869.89

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1.5x scale

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.