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Finding the Fourth Proportional to 203,216.94, 280,435.86 and 112,571.01

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Solution

The fourth proportional to 203,216.94, 280,435.86 and 112,571.01 is: 155,346.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,216.94 : 280,435.86 = 112,571.01 : x
  2. Step 2: Convert to fraction form
    203,216.94/280,435.86 = 112,571.01/x
  3. Step 3: Cross multiply
    203,216.94x = 280,435.86 × 112,571.01
  4. Step 4: Simplify right side
    203,216.94x = 31,568,948,000.42
  5. Step 5: Solve for x
    x = 31,568,948,000.42/203,216.94
  6. Step 6: Final answer
    x = 155,346.05

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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.