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Finding the Fourth Proportional to 200,144.79, 300,220.83 and 67,000.23

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Solution

The fourth proportional to 200,144.79, 300,220.83 and 67,000.23 is: 100,501.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,144.79 : 300,220.83 = 67,000.23 : x
  2. Step 2: Convert to fraction form
    200,144.79/300,220.83 = 67,000.23/x
  3. Step 3: Cross multiply
    200,144.79x = 300,220.83 × 67,000.23
  4. Step 4: Simplify right side
    200,144.79x = 20,114,864,660.79
  5. Step 5: Solve for x
    x = 20,114,864,660.79/200,144.79
  6. Step 6: Final answer
    x = 100,501.57

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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.