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Finding the Fourth Proportional to 150,203.70, 207,280.80 and 82,220.69

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Solution

The fourth proportional to 150,203.70, 207,280.80 and 82,220.69 is: 113,464.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,203.70 : 207,280.80 = 82,220.69 : x
  2. Step 2: Convert to fraction form
    150,203.70/207,280.80 = 82,220.69/x
  3. Step 3: Cross multiply
    150,203.70x = 207,280.80 × 82,220.69
  4. Step 4: Simplify right side
    150,203.70x = 17,042,769,520.75
  5. Step 5: Solve for x
    x = 17,042,769,520.75/150,203.70
  6. Step 6: Final answer
    x = 113,464.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.