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Finding the Fourth Proportional to 200,149.23, 300,223.08 and 80,259.78

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Solution

The fourth proportional to 200,149.23, 300,223.08 and 80,259.78 is: 120,389.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,149.23 : 300,223.08 = 80,259.78 : x
  2. Step 2: Convert to fraction form
    200,149.23/300,223.08 = 80,259.78/x
  3. Step 3: Cross multiply
    200,149.23x = 300,223.08 × 80,259.78
  4. Step 4: Simplify right side
    200,149.23x = 24,095,838,351.72
  5. Step 5: Solve for x
    x = 24,095,838,351.72/200,149.23
  6. Step 6: Final answer
    x = 120,389.36

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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.