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Finding the Fourth Proportional to 203,881.10, 305,821.65 and 133,022.30

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Solution

The fourth proportional to 203,881.10, 305,821.65 and 133,022.30 is: 199,533.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,881.10 : 305,821.65 = 133,022.30 : x
  2. Step 2: Convert to fraction form
    203,881.10/305,821.65 = 133,022.30/x
  3. Step 3: Cross multiply
    203,881.10x = 305,821.65 × 133,022.30
  4. Step 4: Simplify right side
    203,881.10x = 40,681,099,272.80
  5. Step 5: Solve for x
    x = 40,681,099,272.80/203,881.10
  6. Step 6: Final answer
    x = 199,533.45

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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.