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Finding the Fourth Proportional to 203,268, 280,500.96 and 112,623.84

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Solution

The fourth proportional to 203,268, 280,500.96 and 112,623.84 is: 155,415.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,268 : 280,500.96 = 112,623.84 : x
  2. Step 2: Convert to fraction form
    203,268/280,500.96 = 112,623.84/x
  3. Step 3: Cross multiply
    203,268x = 280,500.96 × 112,623.84
  4. Step 4: Simplify right side
    203,268x = 31,591,095,238.89
  5. Step 5: Solve for x
    x = 31,591,095,238.89/203,268
  6. Step 6: Final answer
    x = 155,415.98

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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.