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Finding the Fourth Proportional to 203,856.20, 305,784.30 and 132,997.40

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Solution

The fourth proportional to 203,856.20, 305,784.30 and 132,997.40 is: 199,496.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,856.20 : 305,784.30 = 132,997.40 : x
  2. Step 2: Convert to fraction form
    203,856.20/305,784.30 = 132,997.40/x
  3. Step 3: Cross multiply
    203,856.20x = 305,784.30 × 132,997.40
  4. Step 4: Simplify right side
    203,856.20x = 40,668,516,860.82
  5. Step 5: Solve for x
    x = 40,668,516,860.82/203,856.20
  6. Step 6: Final answer
    x = 199,496.10

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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.